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)
- Title: CRG - Nonsmooth Optimization and Duality Theory Under Variable Dominance and Interval Uncertainty
Funding Agency: SERB, Government of India
Cost: Rs. 27,47,492/- (Twenty-Seven Lakh Forty-Seven Thousand Four Hundred Ninty Two Only)
Period: Jan 2022 to Jan 2025 (Ongoing)
- Title: MATRICS - On Developing Polynomial-time Interior-Point Methods for Robust Multiobjective Convex Optimization Problems
Funding Agency: SERB, Government of India
Cost: Rs. 6,60,000/- (Six Lakh Sixty-Thousand Only)
Period: Jan 2022 to Jan 2025 (Ongoing)
- Title: On Characterizing and Obtaining the Complete Efficient Solution Set of an
Interval Optimization Problem under a D-Dominance and a Variable Dominance Structure
Funding Agency: SERB, Government of India
Cost: Rs. 15,02,500/- (Fifteen Lakh Two Thousand Five Hundred Only)
Period: Dec 2016 to Nov 2019 (Completed)
- Title: A Fuzzy Geometrical Viewpoint to Capture Complete Nondominated Solutions for FMOPs
Funding Agency: BITS Pilani Hyderabad Campus
Cost: Rs. 2,00,000/- (Rs. Two Lakh Only)
Period: Dec 2014 - March 2016 (Completed)
- Title: A Study on Analyzing Nondominated Solutions for Interval Optimization Problems
Funding Agency: SEED Grant, IIT (BHU) Varanasi
Cost: Rs. 9,90,000/- (Nine Lakh Ninty Thousand Only)
Period: Jan 2017 to Feb 2018 (Completed)
- 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
- Cubic Regularization Technique of the Newton Method for Vector Optimization
Debdas Ghosh
Journal of Optimization Theory and Applications, 2025, Accepted Manuscript
- 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
Optimization, Accepted Manuscript, 2025
- Two Self-Adaptive Stepsize Relaxed Dual Inertial Subgradient Extragradient Methods for Solving Pseudomonotone Variational Inequalities and Demicontractive Fixed Point Problems
Habib ur Rehman, Debdas Ghosh, Yekini Shehu, Xiaopeng Zhao
Computational and Applied Mathematics, Accepted Manuscript, 2025
- Quasi-Newton Method for Set Optimization Problems with Set-Valued Mapping Given by Finitely Many Vector-Valued Functions
Debdas Ghosh, Anshika, Jen-Chih Yao, Xiaopeng Zhao
Numerical Functional Analysis and Optimization, Accepted Manuscript, 2025
- Composite Tseng-type extragradient algorithms with adaptive inertial correction strategy for solving bilevel split pseudomonotone VIP under split common fixed-point constraint
Lu-Chuan Ceng, Debdas Ghosh, Habib ur Rehman and Xiaopeng Zhao
Journal of Computational and Applied Mathematics, 470 (2025) 116683
- Experimental results of model predictive control of a coupled tank system using interior-point barrier algorithm
R. Singh, S. Ghosh, D. Ghosh, D. Singh, P. Dworak
International Journal of Systems Science, Accepted Manuscript, 2025
- Solving an Uncertain Quadratic Multiobjective Optimization Problems Using Newton’s Descent Method via Robust Optimization Approach
S. Kumar, N. K. Mahato, M. T. Ansary, D. Ghosh
Applied Set-Valued Analysis and Optimization, Accepted 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 Applications, Accepted 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 Mathematics, 462 (2025) 116483
- Optimal Trajectory Tracking Using Newton and Levenberg-Marquardt-Like Algorithms for Constrained Time-Varying Optimization
Sunidhi Pandey, Parijat Prasun, Shyam Kamal, Devender Singh, Debdas Ghosh, Sorin Olaru
Optimal Control Applications and Methods, Accepted Manuscript, 2025
- Exact Penalty Method for Constrained Interval Optimization using gH-Mordukhovich Subdifferential
Suprova Ghosh, Debdas Ghosh, C.-F. Wen
Journal of Nonlinear and Convex Analysis, Accepted 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 Mathematics, 464 (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 Analysis, Accepted Manuscript, 2025
- Optimality Conditions and Duality Results for Generalized-Hukuhara Subdifferentiable Preinvex Interval-Valued Vector Optimization Problems
Zai-Yun Peng, Jian-Yi Peng, Debdas Ghosh, Zhao Yong, Li Dan
Fuzzy Sets and Systems, Accepted 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 Mathematics, Accepted 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
Optimization, Accepted Manuscript, 2025
- Inexact Newton Method for Solving Generalized Nash Equilibrium Problems
Abhishek Singh, Debdas Ghosh, QH Ansari
Journal of Optimization Theory and Applications, 201 (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 Theory, Accepted Manuscript, 2024
- Generalized Ordered Weighted Aggregation Robustness: A New Robust Counterpart to Solve Uncertain Multi-objective Optimization Problems
Debdas Ghosh, Nand Kishor
Engineering Optimization, Accepted 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
Optimization, Accepted 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 Engineering, Accepted 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 Optimization, Accepted Manuscript, 2024
- A Study on Fuzzy Sphere and Fuzzy Cone
D. Gupta, D. Ghosh, T. Som
Information Sciences, 675 (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 Research, 33 (2025) 102–132
- Steepest Descent Method for Uncertain Multiobjective Optimization Problems Under Finite Uncertainty Set
Shubham Kumar, Md Abu T Ansary, Nihar Kumar Mahato, Debdas Ghosh
Applicable Analysis, 104(7) (2025) 1163--1184
- 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 Optimization, Accepted 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 Analysis, Accepted 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
Positivity, 28 (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 Analysis, Accepted Manuscript, 2024
- A new type of Ekeland's principle and its applications
M. Ghobadi, A. Farajadeh, D. Ghosh
Journal of Nonlinear and Convex Analysis, Accepted Manuscript, 2024
- Extragradient Methods with Dual Inertial Steps for Solving Equilibrium Problems
H. Rehman, D. Ghosh, J. C. Yao, X. Zhao
Applicable Analysis, 103(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
Positivity, 28 (2024) 43
- A Nonmonotone Conditional Gradient Method for Multiobjective Optimization Problems
A. Upadhayay, Debdas Ghosh, Jauny, J. C. Yao, X. Zhao
Soft Computing, 28 (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 Analysis, 9 (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 Analysis, 25 (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 Analysis, 8(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 Analysis, 8(4) (2024) 659-680
- A globally convergent improved BFGS method for generalized Nash equilibrium problems
Abhishek Singh, Debdas Ghosh
SeMA Journal, Accepted 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 Optimization, 6(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 Research, 155 (2023) 106236
- Generalized Hukuhara Global Subdifferentiability in Interval Optimization Problems
Anshika, Krishan Kumar, Debdas Ghosh
Fuzzy Optimization, Decision-making and Operations Research: Theory and Applications, Accepted Manuscript, 2023
- Cone Method for Uncertain Multiobjective Optimization Problems with Minmax Robustness
Ashutosh Upadhayay, Debdas Ghosh, Jauny, Nand Kishor
Combinatorial Optimization Under Uncertainty, Accepted 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 Optimization, 5(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 Computing, 27 (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 Analysis, 7 (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 Applications, 2023 (2023) 14
- Analytical Fuzzy Space Geometry I
D. Ghosh, D. Gupta, T. Som
Fuzzy Sets and Systems, 421, 77--110, 2021
- Improved Sparsity of Support Vector Machine with Robustness Towards Label Noise Based on Rescaled
α-Hinge Loss with Non-smooth Regularizer
M. Singla, D. Ghosh, K. K Shukla
Neural Processing Letters, 52, 2211--2239, 2020
- Robust Twin Support Vector Regression Based on Rescaled Hinge Loss
M. Singla, D. Ghosh, K. K Shukla, W. Pedrycz
Pattern Recognition, 105 (2020) 107395
- Controller and Observer design for Chaotic Systems: A Vector Based Contraction Approach
B. Singh, S. Kamal, X. Yu, D. Ghosh, S. Ghosh
IEEE Transactions on Circuits and Systems II: Express Briefs, 67(12), 3282--3286, 2020
- A Variable and a Fixed Ordering of Intervals and their Application in Optimization with Interval-valued Functions
Debdas Ghosh, A. K. Debnath, W. Pedrycz
International Journal of Approximate Reasoning, 121, 187–205, 2020
- Globalized Robust Markov Perfect Equilibrium for Discounted Stochastic Games and its Application on Intrusion Detection in Wireless Sensor Networks: Part I -- Theory
Debdas Ghosh, Akshay Sharma, K. K. Shukla, A. Kumar, K. Manchanda
Japan Journal of Industrial and Applied Mathematics, 37, 283–308, 2020
- Controller and Observer Design using Vector Framework with Simplified Contraction Analysis
B. Singh, S. Kamal, D. Ghosh, S. Ghosh, A. Ferrara, A. K. Pal, J. K. Goyal
Industrial Technology (ICIT 20), IEEE Xplore, pp 29–34, 2020
- Extended Karush-Kuhn-Tucker Condition for Constrained Interval Optimization Problems and its Application in Support Vector Machines
Debdas Ghosh, Abhishek Singh, K. K. Shukla, Kartik Manchanda,
Information Sciences, 504, 276–292, 2019
- 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
- Infeasible interior point method for multi-objective optimization
International Workshop on Theory and Applications of Optimization in Machine Learning
VIT-AP, University, Andhra Pradesh
06-April-2025
- Institute: Harbin Institute of Technology Shenzhen, China
Period: 20 June to 19 July 2019 (Visiting Professor)
- 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