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E-book

Title Continuous Optimization and Variational Inequalities
Edition First edition
Published [Place of publication not identified] : Chapman and Hall/CRC, 2022

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Description 1 online resource (xviii, 360 pages)
Contents 1. Mixed Type Duality and Saddle Point Criteria for Multiobjective Programming Problems with Nonsmooth Generalized Invexity by Shun-Chin Ho2. Optimality and Duality for Nonsmooth Optimization Problems with Switching Constraints by Yogendra Pandey3. Optimality Conditions for Approximate Solutions of Nonsmooth Semi-infinite Vector Optimization Problems by Liguo Jiao and Do Sang Kim4. Density Aspects in Semi-Infinite Vector Optimization by Shiva Kapoor and C.S. Lalitha5. Optimality Conditions and Duality for Nondifferentiable Multiobjective Fractional Programming Problems by Izhar Ahmad6. Nonconvex Nonsmooth Minimax Fractional Programming involving Generalized Semidifferentiable Preinvex Functions with Different Directions by Hachem Slimani7. Optimality Conditions and Wolfe Duality Results for LU-Efficiency in Differentiable Vector Optimization Problems with Multiple Interval-Valued Objective Function and Vanishing Constraints by Tadeusz Antczak8. Interval-Valued Multi-Time Control Problem with Applications by Preeti and Anurag Jayswal9. Generalized Minty and Stampacchia Vector Variational-Like Inequalities and Interval-Valued Vector Optimization Problems by B.B. Upadhyay, I.M. Stancu-Minasian, Shivani Sain and Priyanka Mishra10. Sufficient Optimality Conditions and Duality for a Nonsmooth Interval-Valued Optimization Problem with Generalized Convexity via gH-Clarke Subgradients by Debdas Ghosh and Suprova Ghosh11. Forward-Backward Extragradient Methods for Quasimonotone Variational Inequalities by Habib ur Rehman, Poom Kumam and Ioannis K. Argyros12. Multidimensional Split Variational Inequality in Traffic Analysis by Shipra Singh13. Controlled Nonlinear Dynamics for Constrained Optimization Problems Involving Second-Order Partial Derivatives by Savin Treanţă14. A Non-Parametric Dual Control Algorithms of Multidimensional Static Systems with Delay by A.V. Medvedev, M.A. Jiménez and E.A. Chzhan15. Well-Posedness of Set Optimization Using Nonlinear Scalarization Function by Manjari Srivastava, Sakshi Gupta and Rekha Gupta
Summary The proposed book provides a comprehensive coverage of theory and methods in the areas of continuous optimization and variational inequality. It describes theory and solution methods for optimization with smooth and non-smooth functions, for variational inequalities with single-valued and multivalued mappings, and for related classes such as mixed variational inequalities, complementarity problems, and general equilibrium problems. The emphasis is made on revealing generic properties of these problems that allow creation of efficient solution methods. Salient Features The book presents a deep, wide-ranging introduction to the theory of the optimal control of processes governed by optimization techniques and variational inequality Several solution methods are provided which will help the reader to develop various optimization tools for real-life problems which can be modeled by optimization techniques involving linear and nonlinear functions. The book focuses on most recent contributions in the nonlinear phenomena, which can appear in various areas of human activities. This book also presents relevant mathematics clearly and simply to help solve real life problems in diverse fields such as mechanical engineering, management, control behavior, traffic signal, industry, etc. This book is aimed primarily at advanced undergraduates and graduate students pursuing computer engineering and electrical engineering courses. Researchers, academicians and industry people will also find this book useful
Bibliography Includes bibliographical references and index
Notes Anurag Jayswal is Associate Professor in the Department of Mathematics and Computing, In- dian Institute of Technology, Dhanbad, India. He obtained his Master in mathematics from Banaras Hindu University, Varanasi, India and was awarded first order of merit. He received his PhD degree in mathematics from the Depart- ment of Mathematics, Banaras Hindu Univer- sity, Varanasi, India. He received a young scien- tist project from the Department of Science and Technology, Government of India. He has more than 15 years of academic experience and teach- ing in BIT Mesra, Ranchi and Indian Institute of Technology, Dhanbad, India. His research interest is continuous optimization, nonsmooth optimization, generalized convexity, control theory and variational inequalities problems. He is the author and coauthor of more than 100 journal papers in the field of continuous optimization and variational inequalities and has supervised more than 10 PhD students. He is editorial board member of Opsearch, India and Advances in Variational Inequalities, USA. He visited several countries to deliver their talks in international conferences. He is a reviewer of various international journals. Tadeusz Antczak is Associate Professor in the Faculty of Mathematics and Computer Science, University of Lódź, Lódź, Poland. He has obtained his Master in mathematics at Faculty of Mathematics, Physics and Chemistry, University of Lódź, Lódź, Poland. He has received his PhD degree in mathematics at Faculty of Mathematics and Computer Science, University of Lódź, Lódź, Poland. He has obtained a postdoctoral degree in mathematics also at Faculty of Mathematics and Computer Science, University of Lódź, Lódź, Poland. He has more than 30 years of academic experience and teaching in Faculty of Mathemat- ics and Computer Science, University of Lódź, Lódź, Poland. His research interest is continuous optimization, multiobjective programming, nonsmooth optimization, generalized convexity, control theory, variational inequalities problems and relational databases. He is the author and co-author of more than 100 journal papers in the field of continuous optimization. He is an editorial board member of Advances in Nonlinear Vari- ational Inequalities (ANVI), USA, and Journal of Advanced Mathematical Studies, Romania. He participated in several international conferences. He is a reviewer of many international journals
Vendor-supplied metadata
Subject Functions, Continuous.
Programming (Mathematics)
Mathematical models.
TECHNOLOGY / General
Functions, Continuous.
Mathematical models.
Programming (Mathematics)
Form Electronic book
Author Jayswal, Anurag. Indian Institute of Technology (ISM), India.
Antczak, Tadeusz. University of Lodz, Poland.
ISBN 9781003289883
1003289886
9781000648980
1000648982
9781000648935
1000648931