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
收藏
页码：929 / 947
页数：19
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