Asymptotic Cones and Functions in Optimization and Variational Inequalities

• Main Authors: Auslender, Alfred (Author), Teboulle, Marc (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2003.
• Series: Springer Monographs in Mathematics,
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Potential theory (Mathematics).; Mathematical models.; Mathematical optimization.; Calculus of variations.; Operations research.; Management science.; Mathematical Modeling and Industrial Mathematics.; Analysis.; Potential Theory.; Calculus of Variations and Optimal Control; Optimization.; Optimization.; Operations Research, Management Science.

Nonlinear applied analysis and in particular the related ?elds of continuous optimization and variational inequality problems have gone through major developments over the last three decades and have reached maturity. A pivotal role in these developments has been played by convex analysis, a rich ar...

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.