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η-广义混合向量平衡问题解的存在性

Existence of Solutions for η-Generalized Mixed Vector Equilibrium Problems
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摘要 在Banach空间中,引进和研究了一类η-广义混合向量平衡问题(η-GMVEP),在适当假设条件下证明了此类问题的等价性定理,并运用KKM定理得到其解的存在性定理. This paper introduces some generalized mixed vector equilibrium problems in Banach spaces and proves the equivalence of the two classes ofη- generalized mixed vector equilibrium problems under suitable assumptions. By using the equivalence theorem, we obtain some results on the existence of solutions for η- generalized mixed vector equilibrium problems.
作者 李紫嫣 高大鹏 何中全
机构地区 西华师范大学数学与信息学院
出处 《湖州师范学院学报》 2014年第2期6-11,共6页 Journal of Huzhou University
基金 教育部科学技术重点项目(211163) 西华师范大学基金项目(11A029 11A028) (13D016)
关键词 η广义混合向量平衡问题 伪单调 HAUSDORFF度量 KKM映射 存在性 η- generalized mixed vector equilibrium problems pseudo- monotone Hausdorff met-ric KKM - mapping the existence
分类号 O177.92 [理学—基础数学]
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参考文献22

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湖州师范学院学报
2014年 第2期

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