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对称算子均衡问题解的存在性分析

Existence analysis of solutions for symmetric operator equilibrium problems
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摘要 本文研究了拓扑向量空间中对称算子均衡问题解的存在性.在自然拟C-凸及C-上半连续的条件下,本文利用KKMF定理获得了拓扑向量空间中对称算子均衡问题解的存在性定理.所得结果改进和推广了现有的工作. In this paper, the existence of solutions for symmetric operator equilibrium problems is investigated in topological vector spaces. By virtue of the conditions of natural quasi-C-convex and C-upper semicontinuity and the KKMF Theorem, the existence theorems of solutions for symmetric operator e- quilibrium problems are obtained. Our results improve and extent some corresponding known results.
作者 张卫兵 颜文勇
机构地区 成都工业学院信息与计算科学系
出处 《四川大学学报（自然科学版）》 CAS CSCD 北大核心 2017年第3期459-462,共4页 Journal of Sichuan University(Natural Science Edition)
基金 四川省科技厅项目基金(2017JY0051) 成都工业学院基金(2016RC006)
关键词 对称算子均衡问题 自然拟C-凸 C-上半连续 KKM映像 Symmetric operator equilibrium problems Natural quasi-C-convex C-upper semicontini-ous KKM-mapping
分类号 O177.91 [理学—基础数学]
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四川大学学报（自然科学版）
2017年 第3期

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