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一类广义I类不变凸半无限规划的最优性条件 被引量:2

Optimality Conditions for a Class of Semi-Infinite Programming Under Generalized Type- I Invexity
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摘要 利用对称梯度,对于一类半无限规划引入了几个非光滑广义I类不变凸性概念,进而在这些新广义不变凸性情形,给出了半无限规划的一些最优性充分条件。 In this paper,several nonsmooth generalized Hanson and Mond typeIinvexities are defined by using Minch's symmetric gradient,and some optimality sufficient conditions for semiinfinite programming are given under these new generalized invexity.
出处 《延安大学学报(自然科学版)》 2003年第2期1-4,共4页 Journal of Yan'an University:Natural Science Edition
基金 陕西省自然科学基金(98SL07) 陕西省教育厅专项科研基金资助课题(01JK063)
关键词 广义I类不变凸性 半无限规划 最优性条件 generalized type-I invexity semi-infinite programming optimality conditions
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参考文献4

  • 1R. N. Kaul,S. K. Suneja,M. K. Srivastava. Optimality criteria and duality in multiple-objective optimization involving generalized invexity[J] 1994,Journal of Optimization Theory and Applications(3):465~482
  • 2Z. K. Xu. On invexity-type nonlinear programming problems[J] 1994,Journal of Optimization Theory and Applications(1):135~148
  • 3M. A. Hanson,B. Mond. Necessary and sufficient conditions in constrained optimization[J] 1987,Mathematical Programming(1):51~58
  • 4Roland A. Minch. Applications of symmetric derivatives in mathematical programming[J] 1971,Mathematical Programming(1):307~320

同被引文献5

  • 1HANSON M A. On sufficiency of Kuhn-Tucker conditions[J]. J Math Anal & Appl, 1981,80(2):545-550.
  • 2CRAVEN B D. Invex functions and constrained local minima[J]. Bull Austral Math Soc, 1981,24:357-366.
  • 3XU Z K. On invexity-type nonlinear programming problems[J]. J Optiom Theory Appl, 1994, 80 (1): 135-148.
  • 4OSUNA-GOMEZ R, BEATO-MORENO A, RUFIAN-LIZANA A. Generalized convexity in multiobjectire programming[J]. J Math Anal & Appl, 1999, 233 (1) : 205-220.
  • 5CASTELLANI M. Nonsmooth invex function and sufficient optimality conditions[J]. J Math Anal & Appl, 2001,255(2):319-332.

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