Asymptotic Cones and Functions in Optimization and Variational Inequalities

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.

Contenu

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