Variational Analysis

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

736 pages, parution le 29/06/2004

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Résumé

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. It refers not only to constrained movement away from a point, but also to modes of perturbation and approximation that are best describable by 'set convergence', variational convergence of functions' and the like. This book develops a unified framework and, in finite dimension, 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, maximal monotone mappings, second-order subderivatives, measurable selections and normal integrands.

Written for:
Researchers and graduate students in systems theory and optimizations

Sommaire

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
References
Index of Statements
Index of Notation
Index of Topics

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	R. Tyrrell Rockafellar, Roger J.-B. Wets
Parution	29/06/2004
Nb. de pages	736
Format	16 x 24
Couverture	Relié
Poids	1230g
Intérieur	Noir et Blanc
EAN13	9783540627722