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Titlebook: Vector Variational Inequalities and Vector Optimization; Theory and Applicati Qamrul Hasan Ansari,Elisabeth K?bis,Jen-Chih Yao Book 2018 Sp

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發(fā)表于 2025-3-21 19:15:42 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Vector Variational Inequalities and Vector Optimization
副標(biāo)題Theory and Applicati
編輯Qamrul Hasan Ansari,Elisabeth K?bis,Jen-Chih Yao
視頻videohttp://file.papertrans.cn/981/980851/980851.mp4
概述Presents for the first time a mathematical theory on vector variational inequalities and vector equilibrium problems.Presents vector variational inequalities as a powerful tools for studying vector op
叢書名稱Vector Optimization
圖書封面Titlebook: Vector Variational Inequalities and Vector Optimization; Theory and Applicati Qamrul Hasan Ansari,Elisabeth K?bis,Jen-Chih Yao Book 2018 Sp
描述.This book presents the mathematical theory of vector variational inequalities and their relations with vector optimization problems. It is the first-ever book to introduce well-posedness and sensitivity analysis for vector equilibrium problems. The first chapter provides basic notations and results from the areas of convex analysis, functional analysis, set-valued analysis and fixed-point theory for set-valued maps, as well as a brief introduction to variational inequalities and equilibrium problems. Chapter 2 presents an overview of analysis over cones, including continuity and convexity of vector-valued functions. The book then shifts its focus to solution concepts and classical methods in vector optimization. It describes the formulation of vector variational inequalities and their applications to vector optimization, followed by separate chapters on linear scalarization, nonsmooth and generalized vector variational inequalities. Lastly, the book introduces readers to vector equilibrium problems and generalized vector equilibrium problems. Written in an illustrative and reader-friendly way, the book offers a valuable resource for all researchers whose work involves optimization
出版日期Book 2018
關(guān)鍵詞vector optimization; vector equilibrium problems; set-valued maps; Ekeland‘s variational principle; sens
版次1
doihttps://doi.org/10.1007/978-3-319-63049-6
isbn_softcover978-3-319-87462-3
isbn_ebook978-3-319-63049-6Series ISSN 1867-8971 Series E-ISSN 1867-898X
issn_series 1867-8971
copyrightSpringer International Publishing AG 2018
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-21 23:32:40 | 只看該作者
Analysis over Cones,by convex cones. Cone topological concepts are investigated. Moreover, continuity and convexity notions of vector-valued functions are discussed. As the most useful and common practice to solve a vector optimization problem is to convert it into a scalar optimization problem, a nonlinear scalarizing
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地板
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發(fā)表于 2025-3-22 18:41:45 | 只看該作者
Generalized Vector Variational Inequalities,ing vector variational inequality problems is no longer valid. We need to generalize the vector variational inequality problems for set-valued maps. There are several ways to generalize vector variational inequality problems discussed in chapter?“Vector Variational Inequalities”. The main objective
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發(fā)表于 2025-3-22 21:43:08 | 只看該作者
Vector Equilibrium Problems,ase were proposed. Among them, the most investigated problems are vector optimization and vector saddle point. In 1956, Blackwell (Pacific Journal of Mathematics 6(1):1–8, 1956) considered matrix games with vector payoff’s and proved the existence theorem for such problems. Since then, many research
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發(fā)表于 2025-3-23 05:58:19 | 只看該作者
Analysis over Cones,onal are studied. These basic tools from convex analysis and nonlinear analysis provide the reader with the necessary knowledge needed for studying vector optimization problems and vector variational inequalities.
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