拓扑线性空间上的广义集值平衡问题

Generalized Set-valued Equilibrium Problems in Topological Vector Space

引入了广义集值广义对角拟凸的概念 ,并证明了广义集值广义对角拟凸与广义KKM定理的等价关系 ,在单调情形和非单调情形下得到了广义集值映射平衡问题解的若干存在性定理 ,其结果推广了文 [1,2 ]中相应结果。

Introducing generalized set-valued g eneralized diagonally quasi-convex,the relationship between the equivalence of the generalized set-valued generalized diagonally quasi-convex and generalized KKM mapping is proved.In both monotone and non-monotone cases some existence t heorems of equilibrium problem for generalized set-valued mapping are obtained, thus generalizing corresponding results of [1,2].