書誌事項

Invexity and optimization

Shashi Kant Mishra, Giorgio Giorgi

(Nonconvex optimization and its applications, v. 88)

Springer, c2008

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注記

Includes bibliographical references (p. [251]-263) and index

内容説明・目次

内容説明

Invexity and Optimization presents results on invex function and their properties in smooth and nonsmooth cases, pseudolinearity and eta-pseudolinearity. Results on optimality and duality for a nonlinear scalar programming problem are presented, second and higher order duality results are given for a nonlinear scalar programming problem, and saddle point results are also presented. Invexity in multiobjective programming problems and Kuhn-Tucker optimality conditions are given for a multiobjecive programming problem, Wolfe and Mond-Weir type dual models are given for a multiobjective programming problem and usual duality results are presented in presence of invex functions. Continuous-time multiobjective problems are also discussed. Quadratic and fractional programming problems are given for invex functions. Symmetric duality results are also given for scalar and vector cases.

目次

Introduction.- Invex Functions (The Smooth Case).- Pseudolinearity. Invexity and Generalized Monotonicity.- Extensions of Invexity to Nondifferentiable Functions.- Invexity in Nonlinear Programming.- Invex Functions in Multiobjective Programming.- Variational and Control problems involving Invexity.- Invexity For Some Special Functions and Problems.- References.- Index.

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詳細情報

  • NII書誌ID(NCID)
    BA86622074
  • ISBN
    • 9783540785613
  • LCCN
    2008923063
  • 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
  • ページ数/冊数
    x, 266 p.
  • 大きさ
    24 cm
  • 親書誌ID
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