A new three-step iteration for generalized nonexpansive mappings in a CAT(0) space

机译：在猫（0）空间中的广义非引入映射的新三步迭代

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In this paper, we apply a new three-step iteration process into a CAT(0) space and present some results on the strong and Δ-convergence of the new three-step iteration for generalized nonexpansive mappings in a CAT(0) space. Our results extend and improve some results in the literature.

机译：在本文中，我们将新的三步迭代过程应用于CAT（0）空间，并在CAT（0）空间中的全新三步迭代的新三步迭代的强度和δ收敛的结果上存在一些结果。我们的结果延伸并改善了文献中的一些结果。

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《International Conference on Analysis and Applied Mathematics》|2014年||共6页
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Metin Ba?ar?r; Aynur ?ahin;
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中图分类 O17-532;
关键词
CAT(0) space; Fixed point; Generalized nonexpansive mapping; Iteration process; Strong convergence; ?-convergence;

机译：猫（0）空间;固定点;广义非派分映射;迭代过程;强会聚;？ - 收敛;
入库时间 2022-08-21 07:09:41

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专利

1. Convergence of three-step iterations for nearly asymptotically nonexpansive mappings in CAT ( k ) $operatorname{CAT}(k)$ spaces [J] . Gurucharan S Saluja, Mihai Postolache, Alia Kurdi Journal of inequalities and applications . 2015,第1期

机译：CAT（k）$ operatorname {CAT}（k）$空间中近渐近非扩张映射的三步迭代收敛
2. A new iterative process for a hybrid pair of generalized asymptotically nonexpansive single-valued and generalized nonexpansive multi-valued mappings in Banach spaces [J] . Suthep Suantai, Withun Phuengrattana Fixexd point theory and applications . 2015,第1期

机译：Banach空间中的广义渐近非扩张单值和广义非扩张多值映射的混合对的新迭代过程
3. A new modified three-step iteration method for G-nonexpansive mappings in Banach spaces with a graph [J] . Numerical algorithms . 2020,第2期

机译：Banach空间中G-nonxpansive映射的新修改三步迭代方法
4. A new three-step iteration for generalized nonexpansive mappings in a CAT(0) space [C] . Metin Ba?ar?r, Aynur ?ahin International Conference on Analysis and Applied Mathematics . 2014

机译：在猫（0）空间中的广义非引入映射的新三步迭代
5. Fixed point and ergodic theorems for nonexpansive mappings on ultrametric Banach spaces. [D] . Farrier, Sandra N. 2005

机译：超度量Banach空间上非膨胀映射的不动点定理和遍历定理。
6. Mann iteration for monotone nonexpansive mappings in ordered CAT(0) space with an application to integral equations [O] . Izhar Uddin, Chanchal Garodia, Juan Jose Nieto -1

机译：有序CAT（0）空间中单调非膨胀映射的Mann迭代及其在积分方程中的应用
7. Convergence of three-step iterations for nearly asymptotically nonexpansive mappings in CAT ( k ) spaces [O] . Gurucharan S Saluja, Mihai Postolache, Alia Kurdi 2015

机译：CAT（k）空间中渐近非扩张映射三步迭代的收敛性。

A new three-step iteration for generalized nonexpansive mappings in a CAT(0) space

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