Overview

"This special volume is dedicated to Boris M. Mordukhovich, on the occasion of his 60th birthday, and aims to celebrate his fundamental contributionsto variational analysis, generalizeddifferentiationand their applications.A main exampleof these contributions is Boris' recent opus magnus ""Variational Analysis and Generalized Differentiation""(vols. I and II) [2,3]. A detailed explanationand careful description of Boris' research and achievements can be found in [1]. Boris' active work and jovial attitude have constantly inspired researchers of several generations, with whom he has generously shared his knowledgeand ent- siasm, along with his well-known warmth and human touch. Variationalanalysis is a rapidlygrowing?eld within pure and applied mathem- ics, with numerous applications to optimization, control theory, economics, en- neering, and other disciplines. Each of the 12 chapters of this volume is a carefully reviewed paper in the ?eld of variational analysis and related topics. Many chapters of this volume were presented at the International Symposium on Variational Analysis and Optimization (ISVAO), held in the Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung, Taiwan, from November 28 to November 30, 2008. The symposium was organized in honour of Boris' 60thbirthday.It broughttogetherBorisandotherresearchersto discusssta- of-the-art results in variational analysis and its applications, with emphasis on op- mization and control. We thank the organizers and participants of the symposium, who made the symposium a highly bene?cial and enjoyable event. We are also grateful to all the authors of this special volume, who have taken the opportunityto celebrate Boris' birthdayand his decadesof contributionsto the area."

Full Product Details

Author:   Regina S. Burachik ,  Jen-Chih Yao
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   2010 ed.
Volume:   47
Dimensions:   Width: 15.50cm , Height: 1.40cm , Length: 23.50cm
Weight:   0.535kg
ISBN:  

9781441904362

ISBN 10:   1441904360
Pages:   232
Publication Date:   30 November 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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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.

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