Dr. Debdas Ghosh

Associate Professor
Department/School/Unit Name
Department of Mathematical Sciences, IIT BHU
Phone No(s): +91 9735453726
Email: debdas.mat@iitbhu.ac.in
Area of Interest: Continuous Optimization

 

  • Optimization Techniques 
  • Operations Research 
  • Engineering Mathematics I
  • Engineering Mathematics II
  • Numerical Techniques 
  • Modern Algebra  
  • Real Analysis 
  • Functional Analysis
  • Universal Human Values II 

 

 

  • World’s Top 2 Percent Scientist by Stanford/Elsevier (2024)
  • Second Best Oral Presentation Award, Department of Mathematics, IIT Kharagpur (2014)  
  • Young Scientist Award, VIFRA (2015) 
  • Best Poster Presentation Award, Department of Mathematics, IIT Kharagpur (2013) 
  • Second Best Poster Presentation Award, Department of Mathematics, IIT Kharagpur (2011) 
  • Prof. J. C. Bose Memorial GOLD Medal, IIT Kharagpur (2009) 
  • Institute Silver Medal, IIT Kharagpur (2009) 
  • Qualified GATE with All India Rank: 8, Percentile: 99.67 (2009) 
  • Qualified NET, JRF-CSIR, All India Rank: 22 (2009) 
  • Best Project Award, IIT Kharagpur (2009) 
  • Stood Second Position in Merit among All Mathematics Honours Students of the University of Calcutta (2007)

 

 

 

 

  • Applied Analysis, Optimization and Soft Computing
    D Ghosh et al. (Eds.)
    Proceedings in Mathematics and Statistics, Volume No. 419, 
    Springer, 2023

 

  • Nonlinear and Variational Analysis 
    D Ghosh and J-C Yao (Eds.)
    SI in Journal of Nonlinear and Convex Analysis, Volume 25, Number 8, 2024

 

  • Contemporary Trends in Vector and Set Optimization  
    D Ghosh and Jiawei Chen (Eds.)
    SI in Journal of Applied Analysis and Optimization, Volume 8, Number 2, 2024 

 

  • Proceedings of IWAAO2024, Taichung, Taiwan  
    J. C. Yao, D. Ghosh, E. Kobis, C. Tammer (Eds.)
    SI in Optimization, Taylor and Francis, 2025

 

 

 

  • A Method for Uncertain Linear Optimization Problems Through Polytopic Approximation of the Uncertainty Set 
    Ravi Raushan, Debdas Ghosh, Yong Zhao, Zhou Wei  
    Journal of Optimization Theory and Applications,  205 (2025) 14 

 

    • Nonmonotone Wolfe-type Quasi-Newton Methods for Multiobjective Optimization Problems 
      Ashutosh Upadhayay, Debdas Ghosh, Krishan Kumar  
      OptimizationAccepted Manuscript, 2025  

     

      • Proximal gradient method for convex multiobjective optimization problems without Lipschitz continuous gradients 
        X. Zhao, R. Raushan, D. Ghosh, J.-C. Yao, M. Qi  
        Computational Optimization and ApplicationsAccepted Manuscript, 2025  

       

        • A three-block linearized generalized ADMM based iterative algorithm for separable convex programming with application to an image compression problem
          X. Q. Zhang, J.-W. Peng, D. Ghosh, J.-C. Yao 
          Journal of Computational and Applied Mathematics462 (2025) 116483 

         

          • Exact Penalty Method for Constrained Interval Optimization using gH-Mordukhovich Subdifferential 
            Suprova Ghosh, Debdas Ghosh, C.-F. Wen  
            Journal of Nonlinear and Convex AnalysisAccepted Manuscript, 2025  

           

          • Solving Equilibrium and Fixed-Point Problems in Hilbert Spaces: A Class of Strongly Convergent Mann-Type Dual-Inertial Subgradient Extragradient Methods
            H. U. Rehman, D. Ghosh, J.-C. Yao, X. Zhao  
            Journal of Computational and Applied Mathematics464 (2025) 116509 

           

            • An Improved Nonmonotone Quasi-Newton Method for Multiobjective Optimization Problems 
              Krishan Kumar, Abhishek Singh, Ashutosh Upadhyay, D. Ghosh 
              Journal of Nonlinear and Convex AnalysisAccepted Manuscript, 2025  

             

              • Epsilon-Subdifferentiability for Interval-valued Functions and Its Application in Interval Optimization Problems 
                Krishan Kumar, D. Ghosh, J-W Chen, J.-C. Yao 
                Computational and Applied MathematicsAccepted Manuscript, 2025  

               

                • Solving Equilibrium and Fixed-Point Problems in Hilbert Spaces: A New Strongly Convergent Inertial Subgradient Extragradient Method 
                  Habib Rehman, Debdas Ghosh, Chinedu Izuchukwu, Xiaopeng Zhao 
                  OptimizationAccepted Manuscript, 2025  

                 

                • Inexact Newton Method for Solving Generalized Nash Equilibrium Problems
                  Abhishek Singh, Debdas Ghosh, QH Ansari 
                  Journal of Optimization Theory and Applications201 (2024) 1333–1363 

                 

                • Self-adaptive inertial subgradient-like extragradient method for bilevel split pseudomonotone variational inequality with CFPP constraint in Banach spaces
                  L.-C. Ceng, H. U. Rehman, D. Ghosh, J.-C. Yao, X. Zhao 
                  Fixed Point TheoryAccepted Manuscript, 2024 

                 

                • Generalized Ordered Weighted Aggregation Robustness: A New Robust Counterpart to Solve Uncertain Multi-objective Optimization Problems
                  Debdas Ghosh, Nand Kishor 
                  Engineering OptimizationAccepted Manuscript, 2024 

                 

                • Nonlinear Conjugate Gradient Methods for Unconstrained Set Optimization Problems whose Objective Functions have Finite Cardinality
                  K. Kumar, D. Ghosh, J-C Yao, X Zhao
                  OptimizationAccepted Manuscript, 2024 

                 

                • On quasi-inertial double extragradient-type iterations for variational inequalities and Bregman relatively asymptotically nonexpansive mapping
                  L-C Ceng, D Ghosh, H Rehman, J-C Yao, X Zhao
                  Optimization EngineeringAccepted Manuscript, 2024 

                 

                • A projected gradient method for constrained set optimization problems with set-valued mappings of finite cardinality 
                  D Ghosh, K Kumar, J-C Yao, and X Zhao 
                  Engineering OptimizationAccepted Manuscript, 2024 

                 

                • A Study on Fuzzy Sphere and Fuzzy Cone
                  D. Gupta, D. Ghosh, T. Som 
                  Information Sciences675 (2024) 120755  

                 

                • On the Convergence Analysis of a Proximal Gradient Method for Multiobjective Optimization 
                  X. Zhao, D. Ghosh, X. Qin, C. Tammer, J.C. Yao 
                  TOP: Transactions in Operations ResearchAccepted Manuscript, 2024 

                 

                • Steepest Descent Method for Uncertain Multiobjective Optimization Problems Under Finite Uncertainty Set 
                  Shubham Kumar, Md Abu T Ansary, Nihar Kumar Mahato, Debdas Ghosh
                  Applicable AnalysisAccepted Manuscript, 2024 

                 

                • A Modified Quasi-Newton Method  for Uncertain Multiobjective Optimization Problems Under Finite Uncertainty Set
                  S. Kumar, N. K. Mahato, M. A. T. Ansary, Debdas Ghosh, S. Treant
                  Engineering OptimizationAccepted Manuscript, 2024 

                 

                • A Projection-type Hybrid Conjugate Gradient Method for Multiobjective Optimization Problems with Application to an SIR Model
                  D. Ghosh, A. Upadhyay, Z-Y Peng, Jauny 
                  Journal of Nonlinear and Convex AnalysisAccepted Manuscript, 2024 

                 

                • Second-Order Strong Optimality and Duality for Nonsmooth Multiobjective Fractional Programming with Constraints
                  J. Chen, L. Liu, Y. Lv, Debdas Ghosh, J.-C. Yao
                  Positivity28 (2024) 36  

                 

                • Generalized Ordered Weighted Aggregation Robustness to Solve Uncertain Single Objective Optimization Problems 
                  N. Kishor, D. Ghosh, X. Zhao 
                  Journal of Nonlinear and Convex AnalysisAccepted Manuscript, 2024 

                 

                • A new type of Ekeland's principle and its applications 
                  M. Ghobadi, A. Farajadeh, D. Ghosh 
                  Journal of Nonlinear and Convex AnalysisAccepted Manuscript, 2024 

                 

                  • Extragradient Methods with Dual Inertial Steps for Solving Equilibrium Problems
                    H. Rehman, D. Ghosh, J. C. Yao, X. Zhao 
                    Applicable Analysis103(16) (2024) 2941–2976 

                   

                  • An inexact proximal point method with quasi-distance for quasi-convex multiobjective optimization
                    X. Zhao, H. Ji, Debdas Ghosh, J. C. Yao 
                    Positivity28 (2024) 43  

                   

                  • A Nonmonotone Conditional Gradient Method for Multiobjective Optimization Problems
                    A. Upadhayay, Debdas Ghosh, Jauny, J. C. Yao, X. Zhao
                    Soft Computing28 (2024) 9609–9630  

                   

                  • A Newton Method for Uncertain Multiobjective Optimization Problems with Finite Uncertainty Set
                    Debdas Ghosh, N. Kishor, X. Zhao
                    Journal of Nonlinear and Variational Analysis9 (2025) 81–110 

                   

                  • Improved Nonmonotone Adaptive Trust-region Method to Solve Generalized Nash Equilibrium Problems
                    Abhishek Singh, Krishan Kumar, Debdas Ghosh
                    Journal of Nonlinear and Convex Analysis25 (1) (2024) 11-29

                   

                  • Generalized Hukuhara Hadamard Derivative of Interval-valued Functions and Its Applications to Interval Optimization
                    RS Chauhan, Debdas Ghosh, QH Ansari 
                    Soft Computing, 28 (2024) 4107–4123 

                   

                    • Generalized Hukuhara Weak Subdifferential and its Application on Identifying Optimality Conditions for Nonsmooth Interval-valued Functions
                      S. Ghosh, D. Ghosh, A. Pretrusel, X. Zhao
                      Journal of Nonlinear and Variational Analysis8(2) (2024) 333-368 

                     

                     

                      • Characterization Of E-Benson Proper Efficient Solutions of Vector Optimization Problems With Variable Ordering Structures in Linear Spaces
                        J-W Peng, W-B Wei, Debdas Ghosh, J-C Yao 
                        Journal of Nonlinear and Variational Analysis8(4) (2024) 659-680

                       

                        • A globally convergent improved BFGS method for generalized Nash equilibrium problems 
                          Abhishek Singh, Debdas Ghosh
                          SeMA JournalAccepted Manuscript, 81 (2024) 235-261   

                         

                        • Hukuhara Dini Hadamard ε-Subdifferential and Hε-subgradient and their Applications in Interval Optimization
                          Anshika, Krishan Kumar, Debdas Ghosh
                          Journal of Applied and Numerical Optimization6(2) (2024) 177-202  

                         

                        • An Infeasible Interior-Point Technique to Generate the Nondominated Set for Multiobjective Optimization Problems 
                          Jauny, Debdas Ghosh, Q. H. Ansari, Matthias Ehrgott, A. Upadhayay 
                          Computers and Operations Research155 (2023) 106236  

                          

                          • Generalized Hukuhara Global Subdifferentiability in Interval Optimization Problems
                            Anshika, Krishan Kumar, Debdas Ghosh 
                            Fuzzy Optimization, Decision-making and Operations Research: Theory and ApplicationsAccepted Manuscript, 2023 

                           

                          • Cone Method for Uncertain Multiobjective Optimization Problems with Minmax Robustness
                            Ashutosh Upadhayay, Debdas Ghosh, Jauny, Nand Kishor 
                            Combinatorial Optimization Under UncertaintyAccepted Manuscript, 2023 

                           

                          • Quasi-Newton Methods for Multiobjective Optimization Problems: A Systematic Review 
                            K. Kumar, Debdas Ghosh, A. Upadhayay, J.C. Yao, X. Zhao
                            Applied Set-Valued Analysis and Optimization5(2) (2023) 291-321 

                           

                          • Normal and Tangent Cones for Set of Intervals and their Application in Optimization with Functions of Interval Variables
                            Suprova Ghosh, Debdas Ghosh, Anshika 
                            Soft Computing27 (2023) 10737–10758

                           

                            • Newton's Method for Uncertain Multiobjective Optimization Problems Under Finite Uncertainty Set
                              S. Kumar, M. A. T. Ansary, N. K. Mahato, Debdas Ghosh, Y. Shehu
                              Journal of Nonlinear and Variational Analysis7 (5) (2023) 785-809

                               

                              • Subgradient Extragradient with Extrapolation Procedure for Bilevel Split Variational Inequality
                                Lu-Chuan Ceng, Debdas Ghosh, Yekini Shehu, Jen-Chih Yao
                                Journal of Inequalities and Applications2023 (2023) 14  

                               

                               

                                 

                                 

                                 

                                 

                                 

                                 

                                 
                                 

                                 

                                 

                                 

                                 

                                 

                                   

                                   

                                   

                                   

                                   

                                    

                                   

                                   

                                   

                                   

                                   

                                   

                                     

                                     

                                     

                                   

                                   

                                   

                                   
                                   

                                   

                                   

                                   

                                   

                                   

                                     

                                   

                                   

                                   

                                   

                                   

                                   

                                   

                                   

                                   

                                   

                                   

                                   

                                   

                                   

                                   

                                   

                                   

                                   

                                   

                                  • Fuzzy ideal cone method for capturing the entire fuzzy non-dominated set of a fuzzy multi-criteria optimization problem 
                                    Silver Jubilee Lecture Series, MIU            
                                    Indian Statistical Institute Kolkata           
                                    08-Mar-2018 

                                   

                                  • Real Analysis through Analytical Geometry 
                                    Balurghat College Mathematics Camp 2018            
                                    Balurghat College, Dakshin Dinajpur, West Bengal           
                                    28--30-Oct-2018 

                                   

                                  • A fuzzy Geometrical Viewpoint to Solve Fuzzy Multiobjective Optimization Problems
                                    Short Term Training Programme on Fuzzy Sets and Applications 2018            
                                    SRM Institute of Science and Technology, Kattankulathur, Tamil Nadu
                                    10-Nov-2018 

                                   

                                  • A  Detour of Geometrical and Mathematical Viewpoint of Optimality Conditions
                                    QIP Sponsored STC on Deep Learning: Theory & Practice 2018           
                                    Department of Computer Science and Engineering, IIT (BHU) Varanasi,  
                                    17-Dec-2018 

                                   

                                  • Fuzzy and Interval Optimization for Support Vector Machine Problems  
                                    Shenzhen Institutes of Advanced Technology, Chinese Academy of Sciences, 
                                    Shenzhen, China           
                                    10-July-2019 

                                   

                                  • A geometrical visit to optimality conditions and duality theory for smooth optimization problems
                                    Department of Mathematics, Dibrugarh University, 
                                    Assam, India           
                                    11-Nov-2019  

                                   

                                  • Nonlinear programming
                                    QIP Sponsored STC on Operations Research: Principles and Applications 2020           
                                    Department of Mechanical Engineering, IIT (BHU) Varanasi,  
                                    03-Jan-2020 

                                   

                                  • A cone method for capturing the non-dominated set of a fuzzy multi-criteria optimization
                                    Indo-French Seminar on Optimization, Variational Analysis and Applications 2020           
                                    Department of Mathematics, Banaras Hindu University, Varanasi,  
                                    04-Feb-2020 

                                   

                                  • Unconstrained Optimization Techniques   
                                    FDP on Optimization Techniques & Applications, Sept 21--25, 2020           
                                    Department of Computer Science and Engineering, NIT Andhra Pradesh
                                    24-Sep-2020 

                                   

                                  • Nonlinear optimization
                                    FDP on Recent Advances in Control Systems, Oct 17--21, 2020 
                                    Department of Electrical Engineering, MMMUT, Gorakhpur 
                                    20-Oct-2020 

                                   

                                  • A modern method of optimization 
                                    STTP on Fractional Order Robust Control System Design (Series I)           
                                    Department of Electrical and Electronics Engineering, Vardhaman College of Engineering, Hyderabad   
                                    31-Oct-2020 

                                   

                                  • Interior point methods in continuous optimization 
                                    Lecture Series on Optimization Technique            
                                    Department of Mathematics & Statistics, King Fahd University of Petroleum and Minerals, Saudi Arabia
                                    08-Nov-2020 and 11-Nov-2020

                                     

                                    • Coffee-time with fuzzy geometrical ideas and its application on fuzzy multicriteria optimization problems
                                      International Conference on Applied Mathematics, June 8--9, 2022 
                                      Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, West Bengal 
                                      09-June-2022 

                                     

                                        • A detour of trust-region methods in optimization 
                                          International workshop on Optimization Techniques in Industrial and Engineering Applications
                                          Department of Mathematics, VIT AP 
                                          07-Jan-2023 

                                         

                                            • A nonmonote quasi-Newton method for solving set optimization problems 
                                              International Conference on Variational Analysis and Optimization with Applications 
                                              Department of Mathematics, Aligarh Muslim University 
                                              24-Sep-2023 

                                             

                                            • Coffee-time with Lagrange multipliers for constrained optimization 
                                              School of Mathematics and Information Science, Hebei University, China 
                                              25-April-2024 

                                             

                                                • Quasi-Newton Method for Set Optimization Problems with Nonmonotone Line Search
                                                  International Conference on Multiobjective Optimization and Applications 2024  
                                                  School of Information and Mathematics, Yangtze University, China 
                                                  27-April-2024 

                                                 

                                                      • Generalized Hukuhara Weak Subdifferential and Its Application on Nonsmooth Interval Optimization 
                                                        School of Mathematics and Statistics, Chongqing Jiaotong University, China 
                                                        31-May-2024 

                                                       

                                                          • An infeasible interior-point technique to generate the nondominated set for multiobjective optimization problems
                                                            School of Mathematical Sciences, Chongqing Normal University, China 
                                                            05-June-2024 

                                                           

                                                              • Nonlinear conjugate gradient methods for unconstrained set optimization problems whose objective functions have finite cardinality
                                                                International Workshop on Applied Analysis and Optimization 2024, 
                                                                Research Center for Interneural Computing, China Medical University, Taichung, Taiwan  
                                                                29-June-2024

                                                               

                                                                  • Conjugate descent method for set optimization problems 
                                                                    Beijing Institute of Technology, China
                                                                    06-December-2024 

                                                                   

                                                                      • Quasi-Newton method for set optimization problems 
                                                                        College of Mathematics and Information Sciences, Hebei University, China 
                                                                        12-December-2024 

                                                                       

                                                                          • Infeasible interior-point method for solving multi-objective optimization problems 
                                                                            Chongqing Technology and Business University, China 
                                                                            14-December-2024 

                                                                           

                                                                              • PRP, DY and FR conjugate gradient methods for set-valued optimization problems 
                                                                                School of Mathematical Sciences, Chongqing Normal University, China 
                                                                                18-December-2024 

                                                                               

                                                                                  • Conjugate gradient techniques for unconstrained set optimization problems 
                                                                                    Chongqing Operations Research Society Conference 2024, Chongqing Jiaotong University, China 
                                                                                    23-December-2024 

                                                                                   

                                                                                      • Nonlinear conjugate gradient methods for unconstrained set optimization problems whose objective functions have finite cardinality
                                                                                        3rd One Week International Workshop on Recent Trends in Optimization Techniques for Challenging Engineering Applications 
                                                                                        VIT University, Amaravati, India 
                                                                                        25-January-2025

                                                                                       

                                                                                          • On infeasible interior-point technique for multiobjective optimization problems
                                                                                            International Workshop on Applied Analysis and Optimization 2025 
                                                                                            Research Center for Interneural Computing, China Medical University, Taiwan  
                                                                                            13-February-2025

                                                                                           

                                                                                           

                                                                                           

                                                                                           

                                                                                           

                                                                                           

                                                                                          • Institute: National Sun Yat-Sen University, Taiwan  
                                                                                            Period: 03 October to 27 October 2022 (Visiting Professor)

                                                                                           

                                                                                          • Institute: National Sun Yat-Sen University, Taiwan  
                                                                                            Period: 18 October to 15 November 2023 (Visiting Professor)

                                                                                           

                                                                                          • Institute: Hebei University, China   
                                                                                            Period: 24 April to 30 April 2024 (Visiting Professor) 

                                                                                           

                                                                                          • Institute: Chongqing Normal University, China   
                                                                                            Period: 30 May to 15 June 2024 (Visiting Professor)  

                                                                                           

                                                                                          • Institute: National Sun Yat-Sen University, Taiwan  
                                                                                            Period: 21 June to 5 July 2024 (Visiting Professor)

                                                                                           

                                                                                          • Institute: China Medical University, Taiwan  
                                                                                            Period: 31 August to 11 September 2024 (Visiting Professor)

                                                                                           

                                                                                          • Institute: Hebei University and Chongqing Jiaotong University, China   
                                                                                            Period: 08 to 24 December 2024 (Visiting Professor) 

                                                                                           

                                                                                          • Institute: China Medical University, Taiwan  
                                                                                            Period: 09 to 14 February 2025 (Visiting Professor)

                                                                                           

                                                                                           

                                                                                           

                                                                                           

                                                                                           

                                                                                           

                                                                                               Guest editor of 

                                                                                          • Optimization, Taylor and Francis 
                                                                                          • Journal of Nonlinear and Convex Analysis, Yokohama publisher, Japan 
                                                                                          • Applied Analysis and Optimization, Yokohama publisher, Japan 

                                                                                           

                                                                                               Editorial board member of 

                                                                                          • Annals of Mathematical Sciences and Applications, International Press of Boston
                                                                                          • Journal of Mathematics, Wiley