ENGLISH

Variational Analysis and Generalized Differentiation I: Basic Theory (Grundlehren der mathematischen Wissenschaften) (v. 1)

By Boris S. Mordukhovich

Book information

Publisher
Springer
Year
2005
ISBN
9783540254379, 3540254374, 1397835402543
Open Library ID
OL17189291M
Language
english
Format
PDF
Filesize
3 MB (3058488 bytes)
Series
Grundlehren der mathematischen Wissenschaften v. 1
Edition
1
Pages
595\595
Time added
2010-02-18 13:16:04

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.

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