%0 Journal Article
%T 广义强向量拟均衡问题组解的存在性<br>EXISTENCE OF SOLUTIONS TO A SYSTEM OF GENERALIZED STRONG VECTOR QUASI-EQUILIBRIUM PROBLEMS WITH SET-VALUED MAPPINGS
%A 作者
%A 赵亚莉
%A 沈璐
%J 数学杂志
%D 2017
%X 本文研究了一类集值广义强向量拟均衡问题组解的存在性问题.利用集值映射的自然拟C-凸性和集值映射的下（-C）-连续性的定义和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，建立了该类集值广义强向量拟均衡问题组解的存在性定理.所得结果推广了该领域的相关结果.<br>In this paper, we study existence of solutions to a system of generalized strong vector quasi-equilibrium problems with set-valued mappings. 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 the systems of generalized strong vector quasi-equilibrium problems with set-valued mappings (for short, SSGSVQEP) was established without the assumption that the dual of the ordering cone has a weak* compact base, which extends and improves the corresponding results in this area
%K 集值广义强向量拟均衡问题组 下(-C)-连续性 自然拟C-凸性 Kakutani-Fan-Glicksberg不动点定理&lt
%K br&gt
%K system of generalized strong vector quasi-equilibrium problems with set-valued mappings lower (-C)-continuity natural quasi C-convexity Kakutani-Fan-Glicksberg fixed point theorem
%U http://sxzz.whu.edu.cn/sxzz/ch/reader/view_abstract.aspx?file_no=20170311&flag=1