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  • 李向有,张庆祥.(h,φ)不变凸多目标半无限规划的对偶性[J].广西科学,2011,18(2):136-139.    [点击复制]
  • LI Xiang-you,ZHANG Qing-xiang.Duality of Multiple-objective Semi-Infinite Programming with(h,φ) Invex Function[J].Guangxi Sciences,2011,18(2):136-139.   [点击复制]
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(h,φ)不变凸多目标半无限规划的对偶性
李向有, 张庆祥
0
(延安大学数学与计算机学院, 陕西延安 716000)
摘要:
利用Ben-Tal广义代数运算,定义一类(h,φ)不变凸函数,在更弱的凸性下,得到此类非光滑(h,φ)多目标半无限规划的一些对偶性条件.
关键词:  (h,φ)不变凸函数  半无限规划  多目标  对偶性  广义代数运算
DOI:
投稿时间:2010-11-19
基金项目:陕西省教育厅专项科研基金项目(06JK154);延安大学科研基金项目(YDK2004-196)资助
Duality of Multiple-objective Semi-Infinite Programming with(h,φ) Invex Function
LI Xiang-you, ZHANG Qing-xiang
(Institute of Mathematics and Computer Science of Yan'an University, Yan'an, Shanxi, 716000, China)
Abstract:
Based on Ben-Tal generalized algebraic operation, a class of (h, φ)invex function was defined, multiple-objective semi-infinite programming involving this kind of function was analyzed, and some important duality conditions were obtained under weker convexity.
Key words:  (h,φ) invex function  semi-infinite programming  multiple-objective  duality  generalized algebraic operation

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