摘要
引入了渐近正则映象对概念.在适当条件下证明了完备距离空间中渐近正则映象对公共不动点的存在定理.定理1设T,S是连续的渐近正则映象对,且满足如下条件:①存在φ∈Φ_1,使得d(T_x,S_y)≤_(D(x,y)),φ_x,y∈X;②d(T_x,S_y)<D(x,y),_x,y∈X且x≠y.那么T和S有唯一的公共不动点.
In this paper, by introducing the concept of a couple of asymptotically reqular mappings, a existence theorem of common fixed point is derived under suitable assumptions in complete metric spaces. Theorem 1 Assume that T and S are a couple of continuous asymptotically regular maps. If the following conditions hold： ① there is φ∈Ф1 such that d（Tx, Sy）≤φ（D（x, y））, x,y∈X;
② d（Tx, Sy）〈D（x, y）, x, y∈X with x≠y. Then T and S have a unique common fixed point.
出处
《西南师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2008年第5期22-25,共4页
Journal of Southwest China Normal University(Natural Science Edition)
关键词
不动点定理
渐近正则映象对
完备距离空间
存在性
filxed point theorems
a couple of asymptotically reqular mappings
complete metric space
existence
