On the approximation of fixed points for the class of mappings satisfying $(CSC)$-condition in Hadamard spaces

IF 1 Q1 MATHEMATICS Carpathian Mathematical Publications Pub Date : 2023-12-10 DOI:10.15330/cmp.15.2.495-506
A. Şahin, O. Alagöz
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Abstract

In this paper, we consider the class of mappings satisfying $(CSC)$-condition. Further, we prove the strong and $\triangle$-convergence theorems of the $JF$-iteration process for this class of mappings in Hadamard spaces. At the end, we give a numerical example to show that the $JF$-iteration process is faster than some well known iterative processes. Our results improve and extend the corresponding recent results of the current literature.
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关于哈达玛德空间中满足$(CSC)$条件的一类映射的定点逼近
在本文中,我们考虑了满足 $(CSC)$ 条件的一类映射。此外,我们证明了哈达玛空间中这类映射的$JF$迭代过程的强收敛定理和$\triangle$收敛定理。最后,我们举了一个数值例子来说明 $JF$-iteration 过程比一些众所周知的迭代过程更快。我们的结果改进并扩展了当前文献中相应的最新结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
CiteScore
1.90
自引率
12.50%
发文量
31
审稿时长
25 weeks
期刊最新文献
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