整篇論文中，主要目的是在研究在KKM族群下，滿足R–函數型之φ -集收縮映射的定點理論。

本論文中我們建立了兩個主要定理，一個定理是在convex set下找出定點，一個是在almost convex set下找出定點。

整篇論文最主要的精華是在於，我們利用非緊緻的條件下去證明取代緊緻的性質。

The purpose of this paper is to study fixed points for the KKM family satisfying the R-function type ψ-set contraction with respect
to the set measure σp of noncomapctness in the context of Hausdorff topological vector spaces. Our results generalize or improve many recent fixed point theorems for the KKM family in the literature.

1. Introduction and preliminaries……………….1
2. Main results………………………...………….4
3. References…………………………………...11

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