Bibliographic Information

Variational analysis

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

(Die Grundlehren der mathematischen Wissenschaften, 317)

Springer, c1998

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Note

Includes bibliographical references (p. [684]-708) 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.

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Details

  • NCID
    BA33627874
  • ISBN
    • 3540627723
  • LCCN
    97035520
  • Country Code
    gw
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Berlin ; New York
  • Pages/Volumes
    xiii, 733 p.
  • Size
    25 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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