Variational Analysis

Variational Analysis
Author: R. Tyrrell Rockafellar
Publisher: Springer Science & Business Media
Total Pages: 747
Release: 2009-06-26
Genre: Mathematics
ISBN: 3642024319


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From its origins in the minimization of integral functionals, the notion of variations has evolved greatly in connection with applications in optimization, equilibrium, and control. This book develops a unified framework and provides a detailed exposition of variational geometry and subdifferential calculus in their current forms beyond classical and convex analysis. Also covered are set-convergence, set-valued mappings, epi-convergence, duality, and normal integrands.


Variational Analysis
Language: en
Pages: 747
Authors: R. Tyrrell Rockafellar
Categories: Mathematics
Type: BOOK - Published: 2009-06-26 - Publisher: Springer Science & Business Media

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From its origins in the minimization of integral functionals, the notion of variations has evolved greatly in connection with applications in optimization, equi
Techniques of Variational Analysis
Language: en
Pages: 368
Authors: Jonathan Borwein
Categories: Mathematics
Type: BOOK - Published: 2006-06-18 - Publisher: Springer Science & Business Media

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Borwein is an authority in the area of mathematical optimization, and his book makes an important contribution to variational analysis Provides a good introduct
Variational Analysis and Generalized Differentiation I
Language: en
Pages: 598
Authors: Boris S. Mordukhovich
Categories: Mathematics
Type: BOOK - Published: 2006-08-08 - Publisher: Springer Science & Business Media

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Comprehensive and state-of-the art study of the basic concepts and principles of variational analysis and generalized differentiation in both finite-dimensional
Variational Analysis and Applications
Language: en
Pages: 636
Authors: Boris S. Mordukhovich
Categories: Mathematics
Type: BOOK - Published: 2018-08-02 - Publisher: Springer

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Building on fundamental results in variational analysis, this monograph presents new and recent developments in the field as well as selected applications. Acce
Variational Analysis of Regular Mappings
Language: en
Pages: 509
Authors: Alexander D. Ioffe
Categories: Mathematics
Type: BOOK - Published: 2017-10-26 - Publisher: Springer

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This monograph offers the first systematic account of (metric) regularity theory in variational analysis. It presents new developments alongside classical resul