| 广义强向量拟均衡问题组解的存在性 |
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| 引用本文： | 赵亚莉,沈璐.广义强向量拟均衡问题组解的存在性[J].数学杂志,2017,37(3):527-532. |
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| 作者姓名： | 赵亚莉 沈璐 |
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| 作者单位： | 渤海大学数理学院, 辽宁 锦州 121013,渤海大学数理学院, 辽宁 锦州 121013 |
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| 基金项目： | 国家自然科学基金资助（11371070）. |
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| 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.
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| 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 |
| 收稿时间： | 2016/4/27 0:00:00 |
| 修稿时间： | 2016/9/13 0:00:00 |
EXISTENCE OF SOLUTIONS TO A SYSTEM OF GENERALIZED STRONG VECTOR QUASI-EQUILIBRIUM PROBLEMS WITH SET-VALUED MAPPINGS |
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| ZHAO Ya-li and SHEN Lu.EXISTENCE OF SOLUTIONS TO A SYSTEM OF GENERALIZED STRONG VECTOR QUASI-EQUILIBRIUM PROBLEMS WITH SET-VALUED MAPPINGS[J].Journal of Mathematics,2017,37(3):527-532. |
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| Authors: | ZHAO Ya-li and SHEN Lu |
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| Institution: | College of Mathematics and Physics, Bohai University, Jinzhou 121013, China and 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. |
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| Keywords: | 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 |
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