摘要
利用集值映射的自然拟C-凸性和集值映射的下（-C）一连续性的定义以及Kakutani—Fan—Glicksberg不动点定理，在不要求锥C的对偶锥C＊具有弱＊紧基的情况下，建立了集值广义强向量拟均衡问题解的存在性定理．把相关文献中所得的关于单值映射解的存在性结果推广到了集值映射的情形．
In this paper, by making use of definitions of natural quasi C-convexity and lower（-C）-continuity of a set-valued mapping and Kakutani-Fan-Glicksberg fixed point theorem, an existence theorem for solutions to a generalized strong vector quasi-equilibrium problem with set-valued mappings（for short, SGSVQEP） was established without the as- sumption that the dual of the ordering cone has a weak＊compact base. The result presented here extends and improves the corresponding result of [1] about single-valued mapping to one about set-valued mapping.
出处
《数学的实践与认识》
北大核心
2016年第23期258-262,共5页
Mathematics in Practice and Theory
基金
国家自然科学基金(11371070)
关键词
集值广义强向量拟均衡问题
解的存在性
下(-c)-连续性
自然拟C-
凸性
generalized strong vector quasi-equilibrium problem with set-valued mappingsexistence of solution
lower （-C）-continuity
natural quasi C-convexity
