完备凸度量空间中Ishikawa迭代序列强收敛到两个映射的公共不动点定理  

The theorems on Ishikawa ierates strongly converging to a common fixed point for two mappings in complete convex metric spaces

作　　者：乔庆荣[1] 

机构地区：[1]淮海工学院东港学院,江苏连云港222069

出　　处：《杭州师范学院学报（自然科学版）》2005年第5期336-339,共4页Journal of Hangzhou Teachers College(Natural Science)

摘　　要：在完备凸度量空间(X,ρ)中,设S、T是满足条件(A)或(B)的闭凸子集上的两个自映射,从两方面研究了映射S、T的公共不动点问题:1.如果映射S、T生成的Ishikawa迭代序列强收敛,则收敛点为S、T的公共不动点;2.如果S、T的公共不动点非空,则映射S、T生成的Ishikawa迭代序列强收敛到S、T的公共不动点.结论改善并推广了部分作者的相关结果[1～5],[7～8].In a complete convex metric space （X,ρ）, let S, T be two selfmappings on closed convex and satisfy condition （A） or （B）. We studied the common fixed points of S and T in the following two aspects： 1. If the Ishikawa iterates associated with mappings S and T strongly converges, then the convergent point is the only common fixed point of S and T; 2. If the common fixed point of S and T is nonempty , then the lshikawa iterates associated with mappings S and T strongly converges to the only common fixed point. The results presented in this paper improves and generates the related results in other papers.

关 键 词：完备凸度量空间 ISHIKAWA迭代 公共不动点 

分 类 号：O177.91[理学—数学]