Asymptotic Cones and Functions in Optimization and Variational Inequalities

Inbunden, Engelska, 2002

Av Alfred Auslender, Marc Teboulle

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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

Utgivningsdatum2002-10-01
Mått155 x 235 x 20 mm
Vikt534 g
FormatInbunden
SpråkEngelska
SerieSpringer Monographs in Mathematics
Antal sidor249
Upplaga2003
FörlagSpringer-Verlag New York Inc.
ISBN9780387955209

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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)