摘要
在这份报纸,一些必要、足够的 optimality 条件为包含 semilocal 电子 convex 和相关函数的部分多重客观编程被获得。另外,一些双结果在这种概括凸的功能下面被建立。我们的结果概括 Preda 获得的[J 数学肛门 Appl, 288 (2003 ) 365-382 ] 。
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].
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)
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
semilocal E-convex functions
fractional multiple objective programming
optimality conditions
duality