Variational Analysis and Generalized Differentiation in Optimization and Control: In Honor of Boris S. Mordukhovich / Edition 1

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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 emphasis on optimization and control.

The included chapters, written by international experts in the field of variational analysis and related topics, are dedicated to Boris S. Mordukhovich, a renowned mathematician, and aim to celebrate his fundamental contributions to variational analysis, generalized differentiation and their applications.

This volume is intended for mathematicians studying variational analysis as well as other researchers interested in applying the principles of variational analysis to their area of study.

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Product Details

Table of Contents

- 1. Qamrul Hasan Ansari and Jen-Chih Yao, Systems of Vector Quasi-
Equilibrium Problems and their Applications.
- 2. Michael McAsey and Libin Mou, Properties of Derivates and Some Applications.
- 3. Robert Baier, Elza Farkhi and Vera Roshchina, On Computing the Mordukhovich Subdifferential Using Directed Sets in Two Dimensions.
- 4. Jonathan M. Borwein, Future Chanllenges for Variational Analysis.
- 5. Regina S. Burachik and C. Yalçın Kaya, A Deflected Subgradient Method Using a General Augmented Lagrangian Duality With Implications on Penalty Methods.
- 6. Adela Capătă, Gábor Kassay and Boglárka Mosoni, On Weak Multifunctions Equilibrium Problems.
- 7. S. Dempe, N. Dinh and J. Dutta, Optimality Conditions for a Simple Convex Bilevel Programming Problem.
- 8. Ya Ping Fang and Xiao Qi Yang, Smooth Representations of Optimal Solution Sets of Piecewise Linear Parametric Multiobjective Programs.
- 9. V. Jeyakumar, G. M. Lee and G. Li, Global Optimality Conditions for Classes of Nonconvex Multi-objective Quadratic Optimization Problems.
- 10. Ilya Shvartsman, Applications of Variational Analysis and Control Theory to Non-Parametric Maximum Likelihood Estimation of a Density Function.
- 11. J. C. Yao and N. D. Yen, Parametric Variational System With A Smooth-boundary Constraint Set.
- 12. Alexander J. Zaslavski, Exact Penalty in Constrained Optimization and the Mordukhovich Basic Subdifferential.

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