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Asymptotic Cones and Functions in Optimization and Variational Inequalities

Springer Monographs in Mathematics

Format: Paperback / softback
Publisher: Springer-Verlag New York Inc., New York, NY, United States
Published: 14th Dec 2011
Dimensions: w 156mm h 234mm d 14mm
Weight: 378g
ISBN-10: 1441930361
ISBN-13: 9781441930361
Barcode No: 9781441930361
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Synopsis
This systematic and comprehensive account of asymptotic sets and functions develops a broad and useful theory in the areas of optimization and variational inequalities. The central focus is on problems of handling unbounded situations, using solutions of a given problem in these classes, when for example standard compacity hypothesis is not present. This book will interest advanced graduate students, researchers, and practitioners of optimization theory, nonlinear programming, and applied mathematics.

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"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)