A one-step implicit iterative method for two finite families of asymptotically nonexpansive mappings in a hyperbolic space

被引：0

作者：

Fukhar-ud-din, Hafiz ^{[1
]}

Kalsoom, Amna ^{[2
]}

Khan, Safeer H. ^{[3
]}

机构：

[1] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia

[2] Int Islamic Univ, Dept Math & Stat, H-10, Islamabad 44000, Pakistan

[3] Qatar Univ, Dept Math Stat & Phys, Doha 2713, Qatar

来源：

APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B | 2018年 / 33卷 / 03期

关键词：

uniformly convex hyperbolic space; asymptotically nonexpansive mapping; common fixed point; strong convergence; 47H09; 47H10; STRONG-CONVERGENCE; FIXED-POINTS; ERRORS;

D O I：

10.1007/s11766-018-3370-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce a one-step implicit iterative method for two finite families of asymptotically nonexpansive mappings in a hyperbolic space and use it to approximate common fixed points of these families. The results presented in this paper are new in the setting of hyperbolic spaces. On top, these are generalizations of several results in literature from Banach spaces to hyperbolic spaces. At the end of the paper, we give an example to validate our results.

引用

页码：274 / 286

页数：13

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