T—KKM映象与拟变分不等式

T—KKM MAPPING AND QUASI-VARIATIONAL INEQUALITIES

本文引入一种新的T-KKM映象替代KKM映象,得到了Ky Fan定理的推广形式及局部凸Hausdorff线性拓扑空间中一类拟变分不等式解的存在性定理。推广和改进了Ky Fan(1953),Aubin(1984),J.X.Chou,G.Chen(1988)等人的一些主要结果。

The paper recommended a new T-KKM mapping instead of the KKM mapping to get the generalized form of the Ky Fan theorem and do the existence theorem of the solution of a type quasivariational inequalities in locally convex linear topological space.The theorems improved and generalized some main results in Ky Fan(1953), Aubin(1984), J. X. Chou and G, Chen(1988).