INVESTIGATION OF SOME FIXED POINT THEOREMS IN HYPERBOLIC SPACES FOR A THREE STEP ITERATION PROCESS

被引：4

作者：

Atalan, Yunus ^{[1
]}

Karakaya, Vatan ^{[2
]}

机构：

[1] Aksaray Univ, Dept Math, TR-68100 Aksaray, Turkey

[2] Yildiz Tech Univ, Dept Math Engn, TR-34210 Istanbul, Turkey

来源：

KOREAN JOURNAL OF MATHEMATICS | 2019年 / 27卷 / 04期

关键词：

iteration process; contractive type operators; hyperbolic spaces; CONTRACTIVE TYPE OPERATORS; BANACH-SPACES; CONVERGENCE; GEOMETRY; MAPPINGS; STABILITY; PAIR;

D O I：

10.11568/kjm.2019.27.4.929

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper, we investigate the convergence, equivalence of convergence, rate of convergence and data dependence results using a three step iteration process for mappings satisfying certain contractive condition in hyperbolic spaces. Also we give non-trivial examples for the rate of convergence and data dependence results to show effciency of three step iteration process. The results obtained in this paper may be interpreted as a refinement and improvement of the previously known results.

引用

页码：929 / 947

页数：19

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