Variational Analysis and Generalized Differentiation I

Basic Theory

By:

Boris S Mordukhovich

Format:

Paperback / softback

Series:

Grundlehren Der Mathematischen Wissenschaften

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Description

Variational analysis is a fruitful area in mathematics that, on one hand, deals with the study of optimization and equilibrium problems and, on the other hand, applies optimization, perturbation, and approximation ideas to the analysis of a broad range of problems that may not be of a variational nature. This monograph in 2 volumes contains a comprehensive and state-of-the art study of the basic concepts and principles of variational analysis and generalized differentiation in both finite-dimensional and infinite-dimensional spaces and presents numerous applications to problems in optimization, equilibria, stability and sensitivity, control theory, economics, mechanics, etc. The first volume is devoted to the basic theory of variational analysis and generalized differentiations, while the second volume describes various applications. Both volumes include abundant bibliographies and extensive commentaries.

Author Biography:

Ph.D. in Mathematics (1973); distinguished faculty and lifetime scholar of the Academy of Scholars; more than 200 publications (including books and patents); many outstanding research and teaching awards; numerous invited talks to various meetings (e.g., 15 keynote presentations during the last year); organizer of conference, special sessions, and issues of journals; Editorial Boards of 11 international journals; grants and awards from NSF, NATO, NSERC, BSF, Australian Research Council, etc.

Release date Australia

February 12th, 2010

Author

Boris S Mordukhovich

Audience

Professional & Vocational

Illustrations

XXII, 579 p.

Pages

579

Series

Grundlehren Der Mathematischen Wissenschaften

Dimensions

156x234x30

ISBN-13

9783642064821

Product ID

9698253

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