摘要
本文[1]给出了拟距离空间的定义及几个基本性质。本文在拟距离空间提出更为一般的非度量压缩映射的概念,并在紧拟距离空间上建立了这类映射的新的不动点定理,从而是推广并概括了已有的许多重要成果。
In this paper, we introduce the concept of generalized non-metric contractive mapping and establish the common fixed point theorem of commuting continuous mappingpair on compact quasi-matrical space. Which includes many known resuits and parlly answers some open problems in [5].
出处
《哈尔滨师范大学自然科学学报》
CAS
1992年第3期19-23,共5页
Natural Science Journal of Harbin Normal University
关键词
拟距离空间
公共不动点
不动点
Quasi-matrical space
Generalized quasi-metrical function
Commuting continuous mappingpair
Common fixed point
