Banach空间中L-Lipschitzian映射对的公共不动点逼近定理  

Some approximation theorems of common fixed points for pairs of L-Lipschitzian mappins in Banach spaces

作　　者：蒋光洁[1] 

机构地区：[1]苏州科技学院数学系,江苏苏州215011

出　　处：《纯粹数学与应用数学》2010年第5期745-750,共6页Pure and Applied Mathematics

基　　金：江苏省高校自然科学基金(08KJD110016);苏州科技学院重点学科基金

摘　　要：研究Banach空间中L-Lipschitzian映射对的公共不动点逼近问题.设E表示实Banach空间,K是E中的非空闭凸子集,T,S:K→K是L-Lipschitzian映射,{xn}是带平均误差项的迭代序列,我们给出了{xn}强收敛于T和S的一个公共不动点的充分必要条件,这一结果推广了Banach空间不动点逼近定理.The purpose of this work is to give an approximation theorem of a common fixed point for a pair of L-Lipschitzian mappins in Banach spaces. We assume that E is a real Banach spaces, K is a nonempty closed convex subset of E, Let T and S：K→K be two L-Lipschitzian mappins, {xn} is iteration sequences with mean errors, We give the sufficient and necessary conditions for {xn} converging strongly to a common fixed point of T and S, the result make some substantive progress for this conjecture.

关 键 词：BANACH空间 L—Lipschitzian映射对 非扩张映射对 公共不动点 

分 类 号：O177[理学—数学]