Approximating common fixed points in hyperbolic spaces

被引：14
|
作者：
Fukhar-ud-din, Hafiz [1 ,2 ]
Khamsi, Mohamed Amine [3 ]
机构：
[1] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia
[2] Islamia Univ Bahawalpur, Dept Math, Bahawalpur 63100, Pakistan
[3] Univ Texas El Paso, Dept Math Sci, El Paso, TX 79968 USA
来源：
FIXED POINT THEORY AND APPLICATIONS | 2014年
关键词：
Delta-convergence; fixed point; Ishikawa iterations; nonexpansive mapping; strong convergence; uniformly convex hyperbolic space; STRONG-CONVERGENCE; ITERATIONS; SCHEME;
D O I：
10.1186/1687-1812-2014-113
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We establish strong convergence and Delta-convergence theorems of an iteration scheme associated to a pair of nonexpansive mappings on a nonlinear domain. In particular we prove that such a scheme converges to a common fixed point of both mappings. Our results are a generalization of well-known similar results in the linear setting. In particular, we avoid assumptions such as smoothness of the norm, necessary in the linear case.
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收藏
页数：15
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