两个全渐近拟非扩张映射有限族下有限步迭代算法的收敛定理

S. Abed, Zahra Mahmood Mohamed Hasan
{"title":"两个全渐近拟非扩张映射有限族下有限步迭代算法的收敛定理","authors":"S. Abed, Zahra Mahmood Mohamed Hasan","doi":"10.1109/ICOASE.2018.8548873","DOIUrl":null,"url":null,"abstract":"in this paper, an iteration algorithm for two finite families of total asymptotically quasi-nonexpansive maps in Banach space is introduced. Weak and strong convergence theorems of this algorithm for approximation common fixed points are proved by using suitable conditions. As well as, numerical example by using Mat-lab is given.","PeriodicalId":144020,"journal":{"name":"2018 International Conference on Advanced Science and Engineering (ICOASE)","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2018-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Convergence Theorems of a Finite-Step Iteration Algorithm Under Two Finite Families of Total Asymptotically Quasi-Nonexpansive Maps\",\"authors\":\"S. Abed, Zahra Mahmood Mohamed Hasan\",\"doi\":\"10.1109/ICOASE.2018.8548873\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"in this paper, an iteration algorithm for two finite families of total asymptotically quasi-nonexpansive maps in Banach space is introduced. Weak and strong convergence theorems of this algorithm for approximation common fixed points are proved by using suitable conditions. As well as, numerical example by using Mat-lab is given.\",\"PeriodicalId\":144020,\"journal\":{\"name\":\"2018 International Conference on Advanced Science and Engineering (ICOASE)\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2018 International Conference on Advanced Science and Engineering (ICOASE)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICOASE.2018.8548873\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2018 International Conference on Advanced Science and Engineering (ICOASE)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICOASE.2018.8548873","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3

摘要

本文给出了Banach空间中两个有限族的全渐近拟非扩张映射的迭代算法。利用适当的条件,证明了该算法对公共不动点逼近的弱收敛定理和强收敛定理。并给出了matlab软件的数值算例。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Convergence Theorems of a Finite-Step Iteration Algorithm Under Two Finite Families of Total Asymptotically Quasi-Nonexpansive Maps
in this paper, an iteration algorithm for two finite families of total asymptotically quasi-nonexpansive maps in Banach space is introduced. Weak and strong convergence theorems of this algorithm for approximation common fixed points are proved by using suitable conditions. As well as, numerical example by using Mat-lab is given.
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
自引率
0.00%
发文量
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信