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Asymptotic cones and functions in optimization and variational inequalities
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.
Cover -- Preface -- Table of Contents -- 1. Convex Analysis and Set-Valued Maps: A Review -- 2. Asymptotic Cones and Functions -- 3. Existence and Stability in Optimization Problems -- 4. Minimizing and Stationary Sequences -- 5. Duality in Optimization Problems -- 6. Maximal Monotone Maps and Variational Inequalities -- References.
Includes bibliographical references and index.