有序规空间公共不动点定理  

Fixed-point results under cyclic form on ordered gauge spaces

作　　者：薛娇[1] 宋眉眉[1] 

机构地区：[1]天津理工大学理学院,天津300384

出　　处：《天津理工大学学报》2015年第5期61-64,共4页Journal of Tianjin University of Technology

摘　　要：本文主要介绍了有序规空间中,在距离函数和循环映射(f,g)的基础上介绍了(ψλ,A,B)循环压缩的概念,并利用此概念探索了在f或g是连续的情况下的公共不动点定理.In this paper,we introduce the notion of a cyclic（ψλ,A,B）-contraction for the pair（f,g）of circular-mappings under the altering distance function on the set X. We utilize our definition to introduce some common fixed point theorems for the two mappings f and g under a set of conditions when f or g is continuous.

关 键 词：不动点 有序规空间 距离函数 循环(ψλ A B)-压缩 

分 类 号：O177.91[理学—数学]