集值弱向量变分不等式问题解集映射的稳定性

Stability of the Solution Set Map to a Set-Valued Weak Vector Variational Inequality

主要讨论一类参数集值弱向量变分不等式问题解集映射的上半连续性,其中参数集值弱向量变分不等式中的算子不是连续的,仅满足v-半连续性及C-伪单调性.相应结论推广了已有文献中的结果.

This paper investigates the upper semicontinuity of the solution map for a class of parametric set-valued weak vector variational inequalities associated to a v-hemicontinuous and weakly C-pseudomonotone operator,which is not continuous.The conclusion reached extends the recent results in relevant literature.