Variational Analysis / Edition 1

Variational Analysis / Edition 1

by R. Tyrrell Rockafellar, Roger J.-B. Wets, Roger J-B Wets
     
 

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ISBN-10: 3540627723

ISBN-13: 9783540627722

Pub. Date: 10/14/2011

Publisher: Springer Berlin Heidelberg

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

Overview

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.

Product Details

ISBN-13:
9783540627722
Publisher:
Springer Berlin Heidelberg
Publication date:
10/14/2011
Series:
Grundlehren der mathematischen Wissenschaften Series, #317
Edition description:
1st Corrected ed. 1998, Corr. 3rd printing 2009
Pages:
750
Sales rank:
892,826
Product dimensions:
6.40(w) x 9.30(h) x 1.90(d)

Table of Contents

Max and Min.- Convexity.- Cones and Cosmic Closure.- Set Convergence.- Set-Valued Mappings.- Variational Geometry.- Epigraphical Limits.- Subderivatives and Subgradients.- Lipschitzian Properties.- Subdifferential Calculus.- Dualization.- Monotone Mappings.- Second-Order Theory.- Measurability.

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