Banach空间中广义混合向量似变分不等式问题

On Generalized Mixed Vector Variational-like Inequality Problem in Banach Spaces

本文主要介绍Banach空间中一类广义混合向量似变分不等式问题,我们将给出全半连续和强半连续的定义内容,并运用Brouwer不动点定理在无单调性情况下证明广义混合向量似变分不等式解的存在性.

In this paper, we introduce a class of problem on generalized mixed vector variational-like inequalities in Banach spaces, we give the concepts of η-complete semicontinuity and ＂η-strong semicontinuity, and prove the solvability for generalized mixed vector variational-like inequality problem without monotonieity assumption by applying the Brouwer＇s fixed point theorem.