A Generalized Vector Variational Inequality and Implicit Complementarity Problems
HE Zhong-quan · 2008
In Banach space,a new kind of generalized vector variational inequality and implicit complementarity problems are studied.In the case of monotone pair mapping and single-mapping,a kind of generalized vector variational inequality is introduced,the equivalence of them is proved and some existence theorems of their solutions are got by using the KKM-theorem.In the case of multi-mapping,the equivalence of a generalized vector variational inequality and an implicit complementarity problem is proved.