Alfred Auslender, Marc Teboulle

Asymptotic Cones and Functions in Optimization and Variational Inequalities (eBook, PDF)

• Format: PDF

Produktbeschreibung

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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Produktdetails

• Verlag: Springer US
• Seitenzahl: 249
• Erscheinungstermin: 7. Mai 2006
• Englisch
• ISBN-13: 9780387225906
• Artikelnr.: 43999868

Autorenporträt

Alfred Auslender, Universite Lyon 1, Villeurbanne, France / Marc Teboulle, Tel Aviv University, Ramat Aviv, Israel

Inhaltsangabe

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.

Rezensionen

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)