| 摘要: |
| 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. |
| 关键词: 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 |
| DOI： |
| 分类号:O224 |
| 基金项目:国家自然科学基金资助（11371070）. |
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| EXISTENCE OF SOLUTIONS TO A SYSTEM OF GENERALIZED STRONG VECTOR QUASI-EQUILIBRIUM PROBLEMS WITH SET-VALUED MAPPINGS |
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ZHAO Ya-li, SHEN Lu
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College of Mathematics and Physics, Bohai University, Jinzhou 121013, China
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| Abstract: |
| 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. |
| Key words: 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 |
