A Multiple-valued Generalized Vector Variational-like Inequality
HE Zhong-quan · Journal of Shenyang Normal University · 2008
In Banach spaces,a new kind of multiple-valued generalized vector variational-like inequality problem(GMLVVIP) is introduced and studied.This kind of variational inequality is based on the classical variational inequality,taking the single-valued mapping to extend the multiple-valued mapping.In the case of multiple-valued mapping and affine,we use hemicontinuity and quasi-monotone of T and show some existence theorems about them by using the KKM-theorem and the K-F-G fixed-point theorem.Our work extends and improves some important known results in Ref[5].