广义区间空间中的一类新型的非空交定理及其对变分不等式的应用

ON SOME KIND OF NEW NONEMPTY INTERSECTION THEOREMSIN INTERPAVAL SPACES WITH APPLICATIONS TO VARIATIOONAL INEQUALITIES

在一类不具线性结构的拓扑空间──广义区间空间中，证明了一类新型的非空交定理．作为应用，研究了广义区间空间中的一类抽象形式的变分不等式解的存在性问题．本文结果改进和发展了作者们的相应结果．

Some kind of new nunempty intersection theorems in generalized niterval spaces which have no any linear structure are given.As an application the authors utilize their resultS to study the existence problems of solutions for some kind of abstract variational inequalities in generalized interval spaces.