在這個碩士論文中，我們在完備度量空間上討論滿足KKM性質的ϕ-可允許梅厄-基勒型式之集收縮函數之定點定理。我們的結論推廣且改善最近的定點結果。

The purpose of this thesis is to study fixed point theorems for the KKM family satisfying the ϕ-admissible Meir-Keeler-type set contractions and ϕ-admissible weaker ψ-Meir-Keeler-type set contractions with respect to the measure of noncompactness α:B(M)→R^+ on complete metric spaces.Our results generalize and improve many recent fixed point results
in the literature.

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