| 书目名称 | Vector Variational Inequalities and Vector Optimization |
| 副标题 | Theory and Applicati |
| 编辑 | Qamrul Hasan Ansari,Elisabeth Köbis,Jen-Chih Yao |
| 视频video | |
| 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 |
| 丛书名称 | Vector Optimization |
| 图书封面 |  |
| 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 |
| 关键词 | vector optimization; vector equilibrium problems; set-valued maps; Ekeland‘s variational principle; sens |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-63049-6 |
| isbn_softcover | 978-3-319-87462-3 |
| isbn_ebook | 978-3-319-63049-6Series ISSN 1867-8971 Series E-ISSN 1867-898X |
| issn_series | 1867-8971 |
| copyright | Springer International Publishing AG 2018 |
发表于 2025-3-21 19:15:42
