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Titlebook: Optimization, Variational Analysis and Applications; IFSOVAA-2020, Varana Vivek Laha,Pierre Maréchal,S. K. Mishra Conference proceedings 20

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发表于 2025-3-21 20:08:51 | 显示全部楼层 |阅读模式
书目名称Optimization, Variational Analysis and Applications
副标题IFSOVAA-2020, Varana
编辑Vivek Laha,Pierre Maréchal,S. K. Mishra
视频video
概述Includes selected papers on optimization, variational analysis and their applications.Presents significant results for recent optimization problems and their solutions.Discusses recent applications of
丛书名称Springer Proceedings in Mathematics & Statistics
图书封面Titlebook: Optimization, Variational Analysis and Applications; IFSOVAA-2020, Varana Vivek Laha,Pierre Maréchal,S. K. Mishra Conference proceedings 20
描述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
出版日期Conference proceedings 2021
关键词multiobjective optimization; nonsmooth analysis; variational inequalities; portfolio optimization; game
版次1
doihttps://doi.org/10.1007/978-981-16-1819-2
isbn_softcover978-981-16-1821-5
isbn_ebook978-981-16-1819-2Series ISSN 2194-1009 Series E-ISSN 2194-1017
issn_series 2194-1009
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor
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The New Butterfly Relaxation Method for Mathematical Programs with Complementarity Constraints, relaxed non-linear programs as well as stationary properties of limiting points. A sub-family of our relaxation schemes has the desired property of converging to an M-stationary point. A stronger convergence result is also proved in the affine case. A comprehensive numerical comparison between exis
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Copositive Optimization and Its Applications in Graph Theory,rtile field of research. In this chapter, we demonstrate the diversity of copositive formulations in different domains of optimization: continuous, discrete, and stochastic optimization problems. Further, we discuss the role of copositivity for local and global optimality conditions. Finally, we tal
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,Hermite–Hadamard Type Inequalities For Functions Whose Derivatives Are Strongly ,-Convex Via Fractiities for strongly .-convex functions. Further, some applications of these results to special means of real numbers are also discussed. Moreover, our results include several new and known results in particular cases.
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,Set Order Relations, Set Optimization, and Ekeland’s Variational Principle,lay a key role to study set optimization problems. The solution concepts of set optimization problems and their relationships with respect to different kinds of set order relations are provided. The nonlinear scalarization functions for vector-valued maps as well as for set-valued maps are very usef
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Unconstrained Reformulation of Sequential Quadratic Programming and Its Application in Convex Optim. The idea of sequential quadratic programming is combined with the concept of regularized gap function to construct an exact differentiable penalty function. A descent algorithm is proposed along with some numerical illustrations.
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On Minty Variational Principle for Nonsmooth Interval-Valued Multiobjective Programming Problems, vector variational inequalities. Under generalized approximate .-convexity hypotheses, we establish the relations between the solutions of approximate Minty and Stampacchia vector variational inequalities and the approximate .-efficient solutions of the nonsmooth interval-valued multiobjective prog
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