对称算子均衡问题解的存在性分析

Existence analysis of solutions for symmetric operator equilibrium problems

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.

Abstract:

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.