Vector Variational Inequalities and Vector Optimization - Theory and Applications (Hardcover, 1st ed. 2018)

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.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	Vector Optimization
Release date:	November 2017
First published:	2018
Authors:	Qamrul Hasan Ansari • Elisabeth Kobis • Jen-Chih Yao
Dimensions:	235 x 155mm (L x W)
Format:	Hardcover
Pages:	509
Edition:	1st ed. 2018
ISBN-13:	978-3-319-63048-9
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Calculus of variations Books > Science & Mathematics > Mathematics > Optimization > General Promotions
LSN:	3-319-63048-2
Barcode:	9783319630489

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