Bültmann & Gerriets
Variational Analysis and Generalized Differentiation I
Basic Theory
von Boris S. Mordukhovich
Verlag: Springer Berlin Heidelberg
Reihe: Grundlehren der mathematischen Wissenschaften Nr. 330
Hardcover
ISBN: 978-3-642-06482-1
Auflage: 2006
Erschienen am 12.02.2010
Sprache: Englisch
Format: 235 mm [H] x 155 mm [B] x 33 mm [T]
Gewicht: 902 Gramm
Umfang: 604 Seiten

Preis: 171,19 €
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Biografische Anmerkung
Inhaltsverzeichnis
Klappentext

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.



Basic Theory.- Generalized Differentiation in Banach Spaces.- Extremal Principle in Variational Analysis.- Full Calculus in Asplund Spaces.- Characterizations of Well-Posedness and Sensitivity Analysis.



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.


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