Strong convergence theorems for strongly nonexpansive sequences

Aoyama K.; Kimura Y.

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Strong convergence theorems for strongly nonexpansive sequences

机译：强非扩张序列的强收敛定理

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摘要

The aim of this paper is to prove a strong convergence theorem for a pair of sequences of nonexpansive mappings in a Hilbert space, where one of them is a strongly nonexpansive sequence, and provide some applications of the theorem.

机译：本文的目的是证明希尔伯特空间中一对非扩张映射序列的强收敛定理，其中一个是强非扩张序列，并提供该定理的一些应用。

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来源
《Applied mathematics and computation》 |2011年第19期|共9页
作者
Aoyama K.; Kimura Y.;
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原文格式 PDF
正文语种 eng
中图分类数值分析;
关键词
Fixed point; Nonexpansive mapping; Strong convergence; Strongly nonexpansive sequence;

机译：不动点;非扩张映射;强收敛;强非扩张序列;

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1. Strong Convergence Theorems for a Finite Family of Sequences of Nearly Nonexpansive Mappings in Hilbert Spaces [J] . Truong Minh Tuyen Numerical Functional Analysis and Optimization . 2018,第10a12期

机译：Hilbert空间中几乎非扩张映射的有限家庭序列的强烈收敛定理
2. APPLICATIONS OF STRONG CONVERGENCE THEOREMS FOR NONEXPANSIVE AND INVERSE-STRONGLY MONOTONE SEQUENCE OF MAPPINGS [J] . M. H. Ahmed Yahya, Adam Zakria, Ibrahim Elkhalil, International journal of functional analysis, operator theory & applications . 2018,第3期

机译：强收敛定理在映射的非扩张和强反单调序列中的应用
3. APPLICATIONS OF STRONG CONVERGENCE THEOREMS FOR NONEXPANSIVE AND INVERSE-STRONGLY MONOTONE SEQUENCE OF MAPPINGS [J] . M. H. Ahmed Yahya, Adam Zakria, Ibrahim Elkhalil, International journal of functional analysis, operator theory & applications . 2018,第3期

机译：映射非派对和强烈单调序列的强趋同定理的应用
4. Strong Convergence Theorems for Hemi-relatively Nonexpansive Mappings [C] . Xiufang Liu International Conference on Future Computer and Communication;ICFCC . 2010

机译：半相对非扩张映象的强收敛定理
5. STRONG CONVERGENCE THEOREMS FOR EXCHANGEABLE ARRAYS OF RANDOM VARIABLES AND RANDOM ELEMENTS IN BANACH SPACES. [D] . PATTERSON, RONALD FRANK. 1984

机译：Banach空间中随机变量和随机元素的可交换阵列的强收敛定理。
6. Strong Convergence Theorems for a Common Fixed Point of a Finite Family of Bregman Weak Relativity Nonexpansive Mappings in Reflexive Banach Spaces [O] . Habtu Zegeye, Naseer Shahzad -1

机译：自反Banach空间中Bregman弱相对论非扩张映射的有限个族的公共不动点的强收敛定理
7. Strong convergence theorems for strongly relatively nonexpansive sequences and applications [O] . Aoyama, Koji, Kimura, Yasunori, Kohsaka, Fumiaki 2012

机译：强相对非扩张的强收敛定理序列和应用程序

Strong convergence theorems for strongly nonexpansive sequences

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