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).
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页码：55 / 61
页数：6
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