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The Modified Multi-step Iteration Process for Pairwise Generalized Nonexpansive Mappings in CAT(O) Spaces

机译：CAT（O）空间中成对广义非扩张映象的修正多步迭代过程

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摘要

In this paper, we modified multi-step procedure to find approximation fixed point of pairwise generalized nonexpansive mappings in CAT(0) spaces. We also prove both strong and ∆-convergence theorems for such a mapping with under mild conditions.

机译：在本文中，我们修改了多步过程，以找到CAT（0）空间中成对广义非扩展映射的近似不动点。我们还证明了在温和条件下这种映射的强定理和∆收敛定理。

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来源
《Econometrics for financial applications》|2018年|381-393|共13页
会议地点 Ho Chi Minh City(VN)
作者
Nuttapol Pakkaranang; Phanuphan Kewdee; Poom Kumam; Piyachat Borisut;
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作者单位

KMUTT-Fixed Point Research Laboratory, Department of Mathematics, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Faculty of Science, King Mongkuts University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thung Khru, Bangkok 10140, Thailand;

KMUTT-Fixed Point Research Laboratory, Department of Mathematics, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Faculty of Science, King Mongkuts University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thung Khru, Bangkok 10140, Thailand;

KMUTT-Fixed Point Research Laboratory, Department of Mathematics, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Faculty of Science, King Mongkuts University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thung Khru, Bangkok 10140, Thailand,KMUTT-Fixed Point Theory and Applications Research Group (KMUTT-FPTA), Theoretical and Computational Science Center (TaCS), Science Laboratory Building, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand;

KMUTT-Fixed Point Research Laboratory, Department of Mathematics, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Faculty of Science, King Mongkuts University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thung Khru, Bangkok 10140, Thailand;

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原文格式 PDF
正文语种 eng
中图分类
关键词
CAT(0) spaces; Convergence theorems; Generalized nonexpansive mappings; Common fixed point;

机译：CAT（0）空间；收敛定理；广义非扩张映射共同定点;

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专利

1. Convergence to common fixed points of multi-step iteration process for generalized asymptotically quasi-nonexpansive mappings in convex metric spaces [J] . G. S. Saluja hacettepe journal of mathematics and statistics . 2014,第2期

机译：凸度量空间中广义渐近拟非扩张映象的多步迭代过程的公共不动点收敛
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. The modified S-iteration process for nonexpansive mappings in CAT ( κ ) $operatorname{CAT}(kappa)$ spaces [J] . Raweerote Suparatulatorn, Prasit Cholamjiak Fixexd point theory and applications . 2016,第1期

机译：CAT（κ）$ operatorname {CAT}（ kappa）$空间中非膨胀映射的修改S迭代过程
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 modified S-iteration process for two generalized asymptotically quasi-nonexpansive mappings in CAT(0) spaces [O] . Singh Saluja 2015

机译：猫（0）空间中的两个广义渐近准非非信号映射的修改的S迭代过程的融合

The Modified Multi-step Iteration Process for Pairwise Generalized Nonexpansive Mappings in CAT(O) Spaces

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