عنوان

Vector Variational Inequalities and Vector Optimization

(Number (ISBN

9783319630496

Number

E2973

.Language of Text, Soundtrack etc

انگلیسی

Title Proper

Vector Variational Inequalities and Vector Optimization

Other Title Information

Theory and Applications

First Statement of Responsibility

Qamrul Hasan Ansari, Elisabeth Kobis, Jen-Chih Yao.

Place of Publication, Distribution, etc.

Cham, Switzerland

Name of Publisher, Distributor, etc.

Springer International Publishing

Date of Publication, Distribution, etc.

2018.

Specific Material Designation and Extent of Item

xiii, 509 p.

Other Physical Details

ill.

Series Title

(Vector Optimization)

ISSN of Series

1867-8971

Text of Note

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.

0

Text of Note

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.

Entry Element

Calculus of variations.

Entry Element

Decision making.

Entry Element

Management science.

Entry Element

Mathematical optimization.

Entry Element

Operations research.

Edition

Class number

Entry Element

Ansari, Qamrul Hasan,

Kobis, Elisabeth,

Yao, Jen-Chih,

Country

Iran

Agency

University of Tehran. Library of College of Science

Date of Transaction

20201026173121.0

Cataloguing Rules (Descriptive Conventions))

rda

Date and Hour of Consultation and Access

UT_SCI_BL_DB_1003231_0001.pdf

e

BL

278840

a

Y