Iterative Schemes of Mean Nonexpansive Mapping

CUI Yunan; ZHANG Jiaxing

doi:10.15938/j.jhust.2021.01.018

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Iterative Schemes of Mean Nonexpansive Mapping

更新时间：2026-08-31

- Iterative Schemes of Mean Nonexpansive Mapping
- Vol. 26, Issue 1, Pages: 130-134(2021)
- 作者机构：
  
  哈尔滨理工大学理学院,哈尔滨,150080
- 作者简介：
- 基金信息：
- DOI：10.15938/j.jhust.2021.01.018
  CLC： O177
- Published：2021
- 稿件说明：
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CUI Yunan, ZHANG Jiaxing. Iterative Schemes of Mean Nonexpansive Mapping[J]. 2021, 26(1): 130-134.
DOI：

CUI Yunan, ZHANG Jiaxing. Iterative Schemes of Mean Nonexpansive Mapping[J]. 2021, 26(1): 130-134. DOI： 10.15938/j.jhust.2021.01.018.

摘要

基于Mann迭代、Ishikawa迭代以及一些其他的二步迭代三步迭代的构造方式，构造出两种新的四步迭代格式和一种n步迭代，在一致凸的Banach空间中的非空有界闭凸子集中研究了这两种四步迭代格式与平均非扩张映射T不动点之间的关系，并得到了新定义的n步迭代收敛于平均非扩张映射T的不动点的一个充分条件。

Abstract

Based on Mann iteration

Ishikawa iterationand some other twostep iteration

threestep iteration methods

two new fourstepiteration schemes and one nstep iteration are constructed. A nonempty boundedclosed convex subsetIn of a uniformly convex Banach space

the relationshipbetween the two fourstep iterative schemes and the fixed point of the meannonexpansive mapping T is studied. A sufficient condition for the nstepiteration to converge to the fixed point of the mean nonexpansive mapping T isobtained.

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