非空交定理及其应用(英文)

Topological Nonempty Intersection Theorems with Applications

本文得到了广义区间空间中几个参数型非空交定理，并用此结果证明了一些新型极大极小定理、截口定理、重合定理、以及变分不等式解的存在性定理．本文中的结果包含[1，3，5－12．14－16]中相应结果．

In this paper,some parametric type nonempty intersection theorems are obtained in generalized interval spaces. We utilize these results to establish some new minimax theorems,section theorems,coincidence theorems and existence theorems of solutions for variational inequalities. The results presented in this paper contain the corresponding results in [1, 3, 5-12, 14-16].