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半局部E-凸性下分式多目标规划的最优性条件与对偶
引用本文:胡清洁,肖运海,陈内萍.半局部E-凸性下分式多目标规划的最优性条件与对偶[J].数学季刊,2009,24(2):200-210.
作者姓名:胡清洁  肖运海  陈内萍
作者单位: 
基金项目:Hunan Provincial Natural Science Foundation of China,Sup-ported by Soft Science Research Fund of Hunan Province,Scientific Research Fund of Hunan Provincial Education Department 
摘    要:

关 键 词:分式多目标规划  最优性条件  电子  对偶  广义凸函数  数学分析

Optimality and Duality on Fractional Multi-objective Programming Under Semilocal E-convexity
HU Qing-jie XIA O Yun-hai CHEN Nei-ping.Optimality and Duality on Fractional Multi-objective Programming Under Semilocal E-convexity[J].Chinese Quarterly Journal of Mathematics,2009,24(2):200-210.
Authors:HU Qing-jie XIA O Yun-hai CHEN Nei-ping
Institution:[1]Department of Information, Hunan Business College, Changsha 410205, China [2]College of Mathematics and Information Science, Henan University, Kaifeng 475001, China
Abstract:In this paper, some necessary and sufficient optimality conditions are obtained for a fractional multiple objective programming involving semilocal E-convex and related functions. Also, some dual results are established under this kind of generalized convex functions. Our results generalize the ones obtained by PredaJ Math Anal Appl, 288(2003) 365-382].
Keywords:semilocal E-convex functions  fractional multiple objective programming  op-timality conditions  duality
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