A one-step implicit iterative process for a finite family of I-nonexpansive mappings in Kohlenbach hyperbolic spaces

被引：1

作者：

Gunduz B. ^{[1
]}

Akbulut S. ^{[2
]}

机构：

[1] Department of Mathematics, Faculty of Science and Art, Erzincan University, Erzincan

[2] Department of Mathematics, Faculty of Science, Ataturk University, Erzurum

来源：

Mathematical Sciences | 2016年 / 10卷 / 1-2期

关键词：

Common fixed point; I-nonexpansive map; Implicit iterative process; Kohlenbach hyperbolic space; Strong convergence; Δ; -convergence;

D O I：

10.1007/s40096-016-0178-9

中图分类号：

学科分类号：

摘要：

The purpose of the present paper is threefold. First, to give definition of I-nonexpansive mappings in a Kohlenbach hyperbolic space. Second, to define a new one-step implicit iterative process. Finally, to establish strong and Δ -convergence theorems for this iterative process in a Kohlenbach hyperbolic space. In addition, an example is provided to validate our result. Our results extend some existing results. © 2016, The Author(s).

引用

页码：55 / 61

页数：6

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