A Note on a Fixed Point of a Nonexpansive Mapping in a Nonconvex Set and a Fixed Point Criterion for Compact T₂-Space

Abstract

본 논문에서는 Nonconvex Set상의 Nonexpansive Mapping에 관한 부동점의 존재에 대하여 논하였고 다음에는 Compact T2-Space에 대한 부동점에 관하여 고찰하였다.

In this note I will prove a theorem concerning the existance of a fixed point of a nonexpansive mapping on certain class of a convex set and prove a fixed point theorem for compact T2-space.

In this note I will prove a theorem concerning the existance of a fixed point of a nonexpansive mapping on certain class of a convex set and prove a fixed point theorem for compact T2-space.