一类积集上的广义向量变分不等式

A Class of Generalized Vector Variational Inequalities over Product Sets

研究一类积集上具某种权向量的广义向量变分不等式组及其广义向量变分不等式的有关问题,刻画它们之间解的相互关系.在映射的次连续性和关于某向量广义单调性的条件下,利用集值映射的不动点定理,对所讨论的几种类型的广义向量变分不等式给出解的存住性.

A class of generalized vector variational inequalities over product of sets and system of generalized vector variational inequalities are considered.The relationships of solution sets among those variational inequality problems are presented.With the hemicontinuity and several kinds of generalized monotonicities with respect to a vector,several existence results for the solutions of problems mentioned above are established by fixed point theorems of setvalued mappings.