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非光滑多目标分式规划的最优性条件

Optimality Conditions in Nonsmooth Multiobjective Fractional Programming
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摘要 本文利用方向导数对非光滑函数引入了伪凸、严格伪凸和拟凸等概念,给出了非光滑多目标分式规划解的Fritz John型和Kuhn-Tucker型的必要条件和充分条件。 In this paper, several concepts such as pseudoconvex, strict pseudoconvex, and quasiconvex for nonsmooth functions are presented by means of directional derivatives, and then Fritz John and Kuhn-Tucker necessary and sufficient conditions for optimum of nonsmoomth multiobjective fractional programming are derived.
出处 《信息工程学院学报》 1997年第2期33-38,共6页
关键词 多目标分式规划 Firtz John型 Kuhn-Tucker型 multiobjective fractional programming, Fritz John and Kuhn-Tucker optimality conditions
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参考文献3

  • 1C. R. Bector,S. Chandra,I. Husain. Optimality conditions and duality in subdifferentiable multiobjective fractional programming[J] 1993,Journal of Optimization Theory and Applications(1):105~125
  • 2C. Singh. Optimality conditions in multiobjective differentiable programming[J] 1987,Journal of Optimization Theory and Applications(1):115~123
  • 3A. Ben-Tal,J. Zowe. Directional derivatives in nonsmooth optimization[J] 1985,Journal of Optimization Theory and Applications(4):483~490

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