The Optimality Conditions for Multiobjective Semi-infinite Programming Involving Generalized Unified （C, α, p, d）-convexity  

作　　者：ZHANG Qing-xiang ZHANG Yong-zhan 

机构地区：[1]College of Mathematics and Computer Science, Yan'an University, Yan'an 716000, China

出　　处：《Chinese Quarterly Journal of Mathematics》2013年第2期241-249,共9页数学季刊（英文版）

基　　金：Supported by the Science Foundation of Shaanxi Provincial Educational Department Natural Science Foundation of China（06JK152）; Supported by the Graduate Innovation Project of Yanan uni- versity（YCX201003）

摘　　要：The definition of generalized unified (C, α, ρ, d)-convex function is given. The concepts of generalized unified (C, α, ρ, d)-quasiconvexity, generalized unified (C, α, ρ, d)-pseudoconvexity and generalized unified (C, α, ρ, d)-strictly pseudoconvex functions are presented. The sufficient optimality conditions for multiobjective nonsmooth semi-infinite programming are obtained involving these generalized convexity lastly.The definition of generalized unified （C,α, p, d）-convex function is given. The concepts of generalized unified （C, α, p, d）-quasiconvexity, generalized unified （C, α, p, d）- pseudoconvexity and generalized unified （C, α p, d）-strictly pseudoconvex functions are pre- sented. The sufficient optimality conditions for multiobjective nonsmooth semi-infinite pro- gramming are obtained involving these generalized convexity lastly.

关 键 词：generalized convexity multiobjective semi-infinite programming efficient solution optimality conditions 

分 类 号：O221.6[理学—运筹学与控制论]