凸2－距离空间中非扩张型映射的不动点定理

FIXED POINT THEOREMS FOK NONEXPANSIVE MAPPINGS IN CONVEX 2-METRIC SPACES

本文引入了凸２－距离空间的概念，并给出这一空间内任意集合的凸包的两个基本特性。利用这些特性，我们对凸２－距离空间中非扩张型映射证明了几个不动点定理。推广了张石生，丁协平等所做工作中的相应结果到凸２－距离空间。

ln this paper,we introduce a notion of convex 2-metric spaces and give two ba-sic characteristics of the convex hull of any set in spaces of this kind.Using these character-istics,we prove several fixed point theorems for nonexpansive mappings in convex 2-inetricspaces.The corresponding resuIts in[3,6-8]are generalized to convex 2-metric spaces.