Cat(0)空间中k-严格伪压缩映射的两种迭代方法的收敛性

International journal of pure and applied mathematics Pub Date : 2022-03-12 DOI:10.46300/91019.2022.9.7

A. Şahin, M. Basarir

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引用次数: 0

摘要

本文证明了k -严格伪压缩映射的半闭性原理，并在CAT(0)空间中建立了k -严格伪压缩映射循环算法的Δ -收敛定理。同时，给出了CAT(0)空间中k -严格伪压缩映射的修正Halpern迭代的强收敛定理。我们的结果扩展和改进了最近许多作者在文献中公布的相应结果。

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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On the Convergence of Two Iterative Methods for k-strictly Pseudo-contractive Mappings in Cat(0) Spaces

In this paper, we prove the demiclosedness principle for k -strictly pseudo-contractive mappings and establish the Δ - convergence theorem of the cyclic algorithm for such mappings in CAT(0) spaces. Also, we give the strong convergence theorem of the modified Halpern iteration for k -strictly pseudo-contractive mappings in CAT(0) spaces. Our results extend and improve the corresponding recent results announced by many authors in the literature.

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International journal of pure and applied mathematics

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