About the Book
This book includes selected papers presented at the Indo-French Seminar on Optimization, Variational Analysis and Applications (IFSOVAA-2020), held at the Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi, India, from 2–4 February 2020. The book discusses current optimization problems and their solutions by using the powerful tool of variational analysis. Topics covered in this volume include set optimization, multiobjective optimization, mathematical programs with complementary, equilibrium, vanishing and switching constraints, copositive optimization, interval-valued optimization, sequential quadratic programming, bound-constrained optimization, variational inequalities, and more. Several applications in different branches of applied mathematics, engineering, economics, finance, and medical sciences have been included. Each chapter not only provides a detailed survey of the topic but also builds systematic theories and suitable algorithms to deduce the most recent findings in literature. This volume appeals to graduate students as well as researchers and practitioners in pure and applied mathematics and related fields that make use of variational analysis in solving optimization problems.
Table of Contents:
Khushboo and C. S. Lalitha, Linear and Pascoletti—Serafini Scalarizations in Unified Set Optimization.- N. K. Bisui, S. Mazumder and G. Panda, A Gradient Free Method for Multiobjective Optimization Problem.- J.-P. Dussault, T. Migot, M. Haddou, The New Butterfly Relaxation Method for Mathematical Programs with Complementarity Constraints.- S. K. Neogy and V. N. Mer, Copositive Optimization and its Applications in Graph Theory.- N Sharma, J. Bisht, and S. K. Mishra, Hermite-Hadamard type Inequalities for Functions whose Derivatives are Strongly-Convex via Fractional Integrals.- Q. H. Ansari, P. K. Sharma, Set Order Relations, Set Optimization and Ekeland’s Variational Principle.- A. K. Debnath and D. Ghosh, Characterizations and Generating Efficient Solutions to Interval Optimization Problems.- R. Sadhu, C. Nahak, S. P. Dash, Unconstrained Reformulation of Sequential Quadratic Programming and its Application in Convex Optimization.- P. Maréchal, A Note on Quadratic Penalties for LinearIll-posed Problems: from Tikhonov Regularization to Mollification.- W. C. Simo Tao Lee.- A New Regularization Method for Linear Exponentially Ill-posed Problems.- V. Laha, H. N. Singh and S. K. Mishra, R. Kumar, On Minimax Programming with Vanishing Constraints.- B. B. Upadhyay and P. Mishra, On Minty Variational Principle for Nonsmooth Interval-Valued Multiobjective Programming Problems.- Y. Pandey, V. Singh, On Constraint Qualifications for Multiobjective Optimization Problems with Switching Constraints.- V. Kapoor and D. Nandan, Optimization of Physico-Chemical Parameters for the Production of Endoxylanase using Combined Response Surface Method and Genetic Algorithm.- A. Kaul, A. Gupta, S. Aggarwal, P. C. Jha, R. Ramanathan, Optimal Duration of Integrated Segment Specific and Mass Promotion Activities for Durable Technology Products: A Differential Evolution Approach.- M. Kumar, A Secure RGB Image Encryption Algorithm in Optimized Virtual Planet Domain.- J. D. Darbari, S. Sharma, M.C. Barrueta Pinto, Identification and Analysis of Key Sustainable Criteria for Third Party Reverse Logistics Provider Selection using the Best-Worst Method.- A. Gupta, N. Pachar, M. C. Barrueta Pinto, Efficiency Assessment through Peer Evaluation and Benchmarking: A Case Study of a Retail Chain using DEA.- R. K. Misra, D. Singh and A. Kumar, Spherical Search Algorithm: A Metaheuristic for Bound-Constrained Optimization.
