在非紧的一般拓扑空间中证明了一个涉及容许集值映象的叠合定理。

A new coincidence theorem involving admissible set-valued mappings is proved in general noncompact topological Spaces.

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应用此不动点定理，在非紧的一般拓扑空间中给出了几个关于拟平衡问题的解的存在性定理。

By applying the fixed point theorem, several new existence theorems of solutions for quasi-equilibrium problems are given under noncompact setting of topological Spaces.

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并由此讨论了紧致的非单连通黎曼流形上无穷多的闭测地线存在性问题。

Also, the paper discuss the existence of the infinite closed geodesics of a compact no-simply connected Riemannian manifold.

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