Iteration schema for common fixed points of nonlinear mappings in spaces of nonpositive curvature

被引：1
作者：
Khan, Muhammad Aqeel Ahmad [1 ]
机构：
[1] Islamia Univ Bahawalpur, Dept Math, Bahawalpur 63100, Pakistan
来源：
ADVANCES IN PURE AND APPLIED MATHEMATICS | 2014年 / 5卷 / 02期
关键词：
Nonexpansive mapping; total asymptotically nonexpansive mapping; common fixed point; asymptotic center; strong convergence; Delta-convergence; hyperbolic space;
D O I：
10.1515/apam-2013-0044
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we propose a one-step iteration for the approximation of common fixed points of two uniformly continuous total asymptotically quasi-nonexpansive mappings in uniformly convex hyperbolic spaces. We establish strong convergence and, Delta-convergence results of the proposed iteration in this setting. As a consequence, our convergence results improve and generalize various results announced in the current literature.
引用
收藏
页码：65 / 74
页数：10
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