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参数约束ρ-凸半无限规划解的充分性 被引量:4

On the Suffieieney of Solutions for ρ-Convex Semi-Infinite Programming with Parametric Inequality Constraints
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摘要 本文提出了广义ρ-凸函数的概念,得到了带参数不等式约束下的一类ps-凸半无限规划的最优性充分条件。 Abstract In this paper the concepts of generalized ρ-convexity are presented,and optimality sufficient conditions are obtained to a class of Semi-Infinite Programming with parametric inequality constraints.
作者 张庆祥
机构地区 延安大学数学系
出处 《工程数学学报》 CSCD 1994年第4期99-101,共3页 Chinese Journal of Engineering Mathematics
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同被引文献13

  • 1张庆祥.广义ρ-凸半无限规划的最优性条件[J].纺织基础科学学报,1994,7(2):116-120. 被引量:9
  • 2张庆祥.非光滑半无限多目标规划弱非控解的充分性[J].高校应用数学学报(A辑),1996,11(4):461-466. 被引量:5
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  • 4Mishra S K. On multipleobjective optimization with generalized univexity [ J]. J Math Anal Appl, 1998 (224) :131 - 148.
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  • 6Jorge N, Stephen J. Wright numerical optimization [M].北京:科学出版社,2001:314-341.
  • 7Avriel M, Zang I. Generalized arcwise-connected functions and characterizations of local-global minimun properties [J]. J Optim Theory Appl, 1980,32 (4) :407 - 424.
  • 8Mehra A, Bhatia D. Optimality and duality for Minmax problems involving arcwise connected and generalized arewise connected functions [J]. J Math Appl, 1999,23 ( 1 ) : 99 - 101.
  • 9Minch R A. Applications of symmetric derivatives in mathematical programming[J]. Math Prog, 1971,71 (1) :307 - 320.
  • 10M. Avriel,I. Zang. Generalized arcwise-connected functions and characterizations of local-global minimum properties[J] 1980,Journal of Optimization Theory and Applications(4):407~425

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