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Some convergence results using K iteration process in \(\mathit{CAT}(0)\) spaces
Fixed Point Theory and Applications Pub Date : 2018-04-16 , DOI: 10.1186/s13663-018-0637-0
Kifayat Ullah , Kashif Iqbal , Muhammad Arshad

In this paper, some strong and Δ-convergence results are proved for Suzuki generalized nonexpansive mappings in the setting of $\mathit{CAT}(0)$ spaces using the K iteration process. We also give an example to show the efficiency of the K iteration process. Our results are the extension, improvement and generalization of many well-known results in the literature of fixed point theory in $\mathit{CAT}(0)$ spaces.

中文翻译:

\(\ mathit {CAT}(0)\)空间中使用K迭代过程的一些收敛结果

在本文中,使用K迭代过程证明了在$ \ mathit {CAT}(0)$空间设置中Suzuki广义非膨胀映射的一些强和Δ收敛结果。我们还举一个例子来说明K迭代过程的效率。我们的结果是定点理论在$ \ mathit {CAT}(0)$空间中许多著名结果的扩展,改进和推广。
更新日期:2018-04-16
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