一类广义多值向量变分不等式问题

A Generalized Multiple-Valued Vector Variational Inequality

本文在Hausdorff拓扑向量空间中引入和研究了一类广义多值向量变分不等式问题,通过运用FKKM定理证明了解的一些存在性定理,推广和改进了文献〔3〕〔5〕的相关研究成果.

In the article, some generalized multiple - valued vector variational inequality problems in Hausdorff vector topologic spaces are introduced and studied, by using FKKM theorem; some existence theorems are proved. The work extends and improves some important and already known results in literatures of [ 3 ] and ref. [ 5 ].