Vector variational inequalities and vector optimization : theory and applications / Qamrul Hasan Ansari, Elisabeth Köbis, Jen-Chih Yao.
Ansari, Qamrul Hasan.; Köbis, Elisabeth.; Yao, Jen-Chih.
2018
QA316
Available Online

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Title Vector variational inequalities and vector optimization : theory and applications / Qamrul Hasan Ansari, Elisabeth Köbis, Jen-Chih Yao.
Author Ansari, Qamrul Hasan.
ISBN 9783319630496 (electronic book)
3319630490 (electronic book)
9783319630489
3319630482
DOI https://doi.org/10.1007/978-3-319-63049-6
Publication Details Cham : Springer International Publishing, ©2018.
Language English
Description 1 online resource (517 pages).
Item Number 10.1007/978-3-319-63049-6 doi
Call Number QA316
Dewey Decimal Classification 515/.64
Summary 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 and vector optimization.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Digital File Characteristics text file PDF
Source of Description Description based on print version record.
Added Author Köbis, Elisabeth.
Yao, Jen-Chih.
Series Vector optimization.
Available in Other Form Vector Variational Inequalities and Vector Optimization : Theory and Applications.
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Preliminaries
Analysis over Cones
Solution Concepts in Vector Optimization
Classical Methods in Vector Optimization
Vector Variational Inequalities
Linear Scalarization of Vector Variational Inequalities
Nonsmooth Vector Variational Inequalities
Generalized Vector Variational Inequalities
Vector Equilibrium Problems
Generalized Vector Equilibrium Problems.

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