Optimality Conditions for Static Programming with Generalized Convexity  

作　　者：刘建林 

机构地区：[1]Dept. of Transportation, Shanghai Maritime Univ., Shanghai 200135, China [2]Dept.of Mathmatica, Jiangxi Normal Univ., Nangchang 330027

出　　处：《Journal of Shanghai Jiaotong university(Science)》2005年第3期314-317,共4页上海交通大学学报（英文版）

基　　金：National Natural Science Foundation ofChina(No.70273029)

摘　　要：The definitions of generalized pseudoconvex,generalized quasiconvex and its stri ctly generalized convexity were presented for the static programming at locally star -shaped set using the concept of right-upper derivative and the concept of sub linear. The sufficient and necessary conditions of the static programming were d erived in terms of a generalized Lemma in this paper. The results obtained are u seful for the further study on the duality of static programming and cover many already known conditions.The definitions of generalized pseudoconvex,generalized quasiconvex and its strictly generalized convexity were presented for the static programming at locally star-shaped set using the concept of right-upper derivative and the concept of sublinear. The sufficient and necessary conditions of the static programming were derived in terms of a generalized Lemmain this paper. The results obtained are useful for the further study on the duality of static programming and cover many already known conditions.

关 键 词：locally star-shaped set right-upper derivative generalized convexity static programming 

分 类 号：O221[理学—运筹学与控制论]