書誌事項

Variational analysis

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

(Die Grundlehren der mathematischen Wissenschaften, 317)

Springer, c1998

大学図書館所蔵 件 / 103

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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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詳細情報

  • NII書誌ID(NCID)
    BA33627874
  • ISBN
    • 3540627723
  • LCCN
    97035520
  • 出版国コード
    gw
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Berlin ; New York
  • ページ数/冊数
    xiii, 733 p.
  • 大きさ
    25 cm
  • 分類
  • 件名
  • 親書誌ID
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