Connectedness of Cone-efficient Solution Set for Cone-quasiconvex Multiobjective Programming in Hausdorff Topological Vector Spaces

作     者：ZHOU Xuan-wei ZHOU Xuan-wei

作者机构：School of Mathematics and Information Science Wenzhou University Wenzhou 325035 China 

出 版 物：《Chinese Quarterly Journal of Mathematics》 (数学季刊（英文版）)

年 卷 期：2010年第25卷第1期

页      面：132-139页

核心收录：

学科分类：12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 07[理学] 070105[理学-运筹学与控制论] 0701[理学-数学] 

基　　金：Foundation item: Supported by the National Natural Science Foundation of China(70071026) 

主　　题：multiobjective programming cone-efficient solution cone-quasiconvex mapping generalized saddle theorem connectedness 

摘      要：This paper deals with the connectedness of the cone-efficient solution set for vector optimization in locally convex Hausdorff topological vector spaces. The connectedness of the cone-efficient solution set is proved for multiobjective programming defined by a continuous one-to-one cone-quasiconvex mapping on a compact convex set of alternatives. During the proof, the generalized saddle theorem plays a key role.