Variational Analysis and Generalized Differentiation in Optimization and Control In Honor of Boris S. Mordukhovich /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Burachik, Regina S. (Editor), Yao, Jen-Chih (Editor)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2010.
• Series: Springer Optimization and Its Applications, 47
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; System theory.; Mathematical optimization.; Calculus of variations.; Calculus of Variations and Optimal Control; Optimization.; Systems Theory, Control.; Optimization.; Analysis.

Variational analysis is a rapidly growing field within pure and applied mathematics, with numerous applications to optimization, control theory, economics, engineering, and other disciplines. This volume brings together state-of-the-art results in variational analysis and its applications, with an e...

Table of Contents:

• Systems of Vector Quasi-equilibrium Problems and Their Applications
• Properties of Derivates and Some Applications
• On Computing the Mordukhovich Subdifferential Using Directed Sets in Two Dimensions
• Future Challenges for Variational Analysis
• A Deflected Subgradient Method Using a General Augmented Lagrangian Dualitywith Implications on Penalty Methods
• On Weak Multifunction Equilibrium Problems
• Optimality Conditions for a Simple Convex Bilevel Programming Problem
• Smooth Representations of Optimal Solution Sets of Piecewise LinearParametric Multiobjective Programs
• Global Optimality Conditions for Classes of Non-convex Multi-objective Quadratic Optimization Problems
• Application of Variational Analysis and Control Theory to Nonparametric MaximumLikelihood Estimation of a Density Function
• Parametric Variational System with a Smooth-Boundary Constraint Set
• Exact Penalty in Constrained Optimization and the Mordukhovich BasicSubdifferential.