Asymptotic Cones and Functions in Optimization and Variational Inequalities / Edition 1

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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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Editorial Reviews

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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)

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Product Details

  • ISBN-13: 9781441930361
  • Publisher: Springer New York
  • Publication date: 12/14/2011
  • Series: Springer Monographs in Mathematics Series
  • Edition description: Softcover reprint of hardcover 1st ed. 2003
  • Edition number: 1
  • Pages: 249
  • Product dimensions: 6.14 (w) x 9.21 (h) x 0.56 (d)

Table of Contents

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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