Variational Analysis / Edition 1

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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.

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Product Details

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

Meet the Author

Both authors have long worked with applications of convex, and later nonconvex, analysis to problems in optimization. Both are recipients of the Dantzig Prize (awarded by SIAM and the Mathematical Programming Society): Rockafellar in 1982 and Wets in 1994.

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Table of Contents

Ch. 1 Max and Min 1
Ch. 2 Convexity 38
Ch. 3 Cones and Cosmic Closure 77
Ch. 4 Set Convergence 108
Ch. 5 Set-Valued Mappings 148
Ch. 6 Variational Geometry 196
Ch. 7 Epigraphical Limits 238
Ch. 8 Subderivatives and Subgradients 298
Ch. 9 Lipschitzian Properties 349
Ch. 10 Subdifferential Calculus 421
Ch. 11 Dualization 473
Ch. 12 Monotone Mappings 533
Ch. 13 Second-Order Theory 579
Ch. 14 Measurability 642
References 684
Index of Statements 709
Index of Notation 724
Index of Topics 725
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