Variational Analysis
Author(s)
Bibliographic Information
Variational Analysis
(Die Grundlehren der mathematischen Wissenschaften, 317)
Springer, [2010]
Corr. 3rd printing
- : pbk
Available at 4 libraries
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Note
Softcover reprint of the hardcover 1st edition 1998
Includes bibliographical references (p. [684]-709) and indexes
Description and Table of Contents
Description
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.
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.
by "Nielsen BookData"