Asymptotic Cones and Functions in Optimization and Variational Inequalities

Alfred Auslender, Marc Teboulle

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English

Springer Verlag
01 June 2003

Operational research; Mathematics & Sciences; Calculus & mathematical analysis; Calculus of variations; Optimisation; Mathematical modelling; Maths for engineers

Series: Springer Monographs in Mathematics

This book provides a systematic and comprehensive account of asymptotic sets and functions from which a broad and useful theory emerges in the areas of optimization and variational inequalities. Mainly it is concerned with the existence of solutions of a given problem in these classes, whenever for example standard compacity hypothesis is not present. Thus it addresses the central problem of handling unbounded situations. This book will be useful to advanced graduate students, researchers, and practitioners in the fields of optimization theory, nonlinear programming, and applied mathematical sciences.

By: Alfred Auslender, Marc Teboulle
Imprint: Springer Verlag
Country of Publication: United States
Dimensions: Height: 235mm, Width: 155mm, Spine: 15mm
Weight: 573g
ISBN: 9780387955209
ISBN 10: 0387955208
Series: Springer Monographs in Mathematics
Pages: 266
Publication Date: 01 June 2003
Audience: Professional and scholarly , College/higher education , Undergraduate , Further / Higher Education
Format: Hardback
Publisher's Status: Active

Convex Analysis and Set-Valued Maps: A Review.- Asymptotic Cones and Functions.- Existence and Stability in Optimization Problems.- Minimizing and Stationary Sequences.- Duality in Optimization Problems.- Maximal Monotone Maps and Variational Inequalities.

Reviews for Asymptotic Cones and Functions in Optimization and Variational Inequalities

From the reviews: ""The main purpose of this book is to provide a systematic study of asymptotic cones and asymptotic functions in finite dimensional normed spaces. … Every chapter ends with bibliographical notes. … The book is addressed to graduate students at an advanced level and to researchers and practitioners in the fields of optimization theory, nonlinear programming and applied mathematical sciences. ... We recommend this book to all those who are interested in asymptotic analysis and its use."" (Constantin Zalinescu, Zentralblatt MATH, Vol. 1017, 2003)