Asymptotic Cones and Functions in Optimization and Variational Inequalities
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ISBN-13:
9780387955209
Veröffentl:
2002
Erscheinungsdatum:
01.10.2002
Seiten:
249
Autor:
Alfred Auslender
Gewicht:
534 g
Format:
246x163x20 mm
Sprache:
Englisch
Beschreibung:
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.
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. It will be useful to advanced graduate students, researchers, and practitioners in the fields of optimization theory, nonlinear programming, and applied mathematical sciences.
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.
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