广义强向量拟均衡问题组解的存在性
EXISTENCE OF SOLUTIONS TO A SYSTEM OF GENERALIZED STRONG VECTOR QUASI-EQUILIBRIUM PROBLEMS WITH SET-VALUED MAPPINGS

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.
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