Variational analysis
著者
書誌事項
Variational analysis
（Die Grundlehren der mathematischen Wissenschaften, 317）
Springer, c1998
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注記
Includes bibliographical references (p. [684]-708) and indexes
内容説明・目次
内容説明
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.
目次
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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