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.

引用

页数：15

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