Optimality and Duality on Fractional Multi-objective Programming Under Semilocal E-convexity  

作　　者：HU Qing-jie XIA O Yun-hai CHEN Nei-ping 

机构地区：[1]Department of Information, Hunan Business College, Changsha 410205, China [2]College of Mathematics and Information Science, Henan University, Kaifeng 475001, China

出　　处：《Chinese Quarterly Journal of Mathematics》2009年第2期200-210,共11页数学季刊（英文版）

基　　金：Foundation item： Supported by Hunan Provincial Natural Science Foundation of China（05JJ40103）; Supported by Soft Science Research Fund of Hunan Province（2006ZK3028）; Supported by Scientific Research Fund of Hunan Provincial Education Department（105B0707, 08C470）

摘　　要：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 Preda[J Math Anal Appl, 288（2003） 365-382].

关 键 词：semilocal E-convex functions fractional multiple objective programming optimality conditions DUALITY 

分 类 号：O221.2[理学—运筹学与控制论] O224[理学—数学]