期刊导航

论文摘要

对称算子均衡问题解的存在性分析

Existence analysis of solutions for symmetric operator equilibrium problems

作者:张卫兵(成都工业学院信息与计算科学系);颜文勇(成都工业学院信息与计算科学系)

Author:ZHANG Wei-Bing(Department of Information and Computing Science, Chengdu Technology University);YAN Wen-Yong(Department of Information and Computing Science, Chengdu Technology University)

收稿日期:2017-01-13          年卷(期)页码:2017,54(3):459-462

期刊名称:四川大学学报: 自然科学版

Journal Name:Journal of Sichuan University (Natural Science Edition)

关键字:对称算子均衡问题; 自然拟 C-凸; C-上半连续; KKM-映像

Key words:Symmetric operator equilibrium problems; Natural quasi- -convex; -upper semicontinious; KKM-mapping

基金项目:高校基金

中文摘要

本文主要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 -凸及 -上半连续的条件下,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. 我们的结果改进和推广了现有的工作.

英文摘要

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 , using the KKM Theorem, the existence theorems of solutions for symmetric operator equilibrium problems are obtained. Our results improve and extent the corresponding results that have studied.

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