有限一致拟-李卜希兹映象族公共不动点的逼近  

On the Approximation Problem of Common Fixed Points for a Finite Family of Uniformly Quasi-Lipschitzian Mappings in Convex Metric Space

作　　者：田有先[1] 陈六新[1] 

机构地区：[1]重庆邮电大学数学研究所,重庆400065

出　　处：《西南大学学报（自然科学版）》2009年第4期25-29,共5页Journal of Southwest University(Natural Science Edition)

基　　金：重庆市教委资助项目(KJ070514)

摘　　要：在凸度量空间内,研究了带误差的Ishikawa型迭代方法逼近有限一致拟-李卜希兹映象族的公共不动点.在一定条件下,给出了带误差的Ishikawa迭代序列收敛于有限一致拟-李卜希兹映象族的公共不动点的充要条件.The purpose of this paper is to study some kind of Ishikawa type iterative scheme with errors to approximate a common fixed point of a finite family of uniformly quasi-Lipschitzianmappings in convex metric spaces. Under appropriate conditions, some convergence theorems are proved. The results presented in the paper generalize, improve and unify some recent results .

关 键 词：凸度量空间 渐近非扩张映象 渐近拟非扩张映象 有限一致拟-李卜希兹映象族 带误差的Ishikawa迭代方法 

分 类 号：O177.91[理学—数学]