Hilbert空间中一类上下界均衡问题解的存在性

Existence of Equilibrium Problems with Lower and Upper Bounds in Hilbert Space

在Hilbert空间中讨论了一类上下界均衡问题解的存在性,在研究过程中,把上下界均衡问题转化为带对称界均衡问题,在定义域为紧集和非紧集两种情况下,分别给出了相关存在性定理,推广了文献[1,6]中的相应结果。

In this paper, we discuss the existence of equilibrium problems with the upper and lower bounds.In the process of study, the e-quilibrium problem of the upper and lower bounds is transformed into symmetric bounded equilibrium one.In both cases of the domain of compact set and non-compact set, some related theorems are given respectively.In addition, the corresponding results in literature [1,6] are generalized.