一类广义非扩张映射的不动点的迭代逼近  

Iterative approximation of fixed points for a class of generalized nonexpansive mapping

作　　者：郝金彪[1] 

机构地区：[1]辽宁师范大学数学学院,辽宁大连116029

出　　处：《辽宁师范大学学报（自然科学版）》2007年第4期389-392,共4页Journal of Liaoning Normal University:Natural Science Edition

摘　　要：本文讨论了任意实Banach空间x的非空闭凸子集E上一类广义非扩张映射的不动点的迭代逼近方法,给出了形如xn+1=αnTk+1xn+(1-αn)Tk+2xn的序列的不动点的存在性与唯一性,其结果推广和改进了文[1]和[2]的一些结论.This paper shows a discussion about a new iteration method for a class of generalized nonexpansive mapping in nonempty closed convex subset E of any real Banach space x and the establishment of the existence and uniqueness of fixed points like xn＋1=αnTxn^k＋1＋（1-αn）xn^k＋2.The results presented in this paper extend and improve the corresponding conclusions in [1] and [2].

关 键 词：广义非扩张映射 不动点 BANACH空间 迭代方法 

分 类 号：O177.91[理学—数学]