Asymptotic Cones and Functions in Optimization and Variational Inequalities

AvAlfred Auslender,Marc Teboulle

Inbunden, Engelska, 2002

Del i serien Springer Monographs in Mathematics

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2002-10-01
Mått:155 x 235 x 20 mm
Vikt:534 g
Format:Inbunden
Språk:Engelska
Serie:Springer Monographs in Mathematics
Antal sidor:249
Upplaga:2003
Förlag:Springer-Verlag New York Inc.
ISBN:9780387955209

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Recensioner i media

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)

Innehållsförteckning

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.