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文章基本信息

  • 标题:Generalized Duality for a Nondifferentiable Control Problem
  • 本地全文:下载
  • 作者:I. Husain ; Vikas K. Jain ; Abdul Raoof Shah
  • 期刊名称:American Journal of Applied Mathematics and Statistics
  • 印刷版ISSN:2328-7306
  • 电子版ISSN:2328-7292
  • 出版年度:2014
  • 卷号:2
  • 期号:4
  • 页码:193-202
  • DOI:10.12691/ajams-2-4-3
  • 语种:English
  • 出版社:Science and Education Publishing
  • 摘要:A generalized dual to a control problem containing support functions is formulated and various duality theorems are established under generalized convexity hypotheses. This dual model represents the combination of Wolfe and Mond-Weir type dual models to the control problem and hence it is described as a generalized dual. Some special cases are obtained. A close relationship of duality results with those of the nonlinear programming problems involving support functions is indicated.
  • 关键词:control problem; support function; optimality conditions; generalized duality; converse duality; nonlinear programming
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