关于轨道p阶的弱不动点性质

IF 1.2 3区 数学 Q1 MATHEMATICS
Halimeh Ardakani , Kamal Fallahi
{"title":"关于轨道p阶的弱不动点性质","authors":"Halimeh Ardakani ,&nbsp;Kamal Fallahi","doi":"10.1016/j.jmaa.2025.130044","DOIUrl":null,"url":null,"abstract":"<div><div>In this note, weakly <em>p</em>-summable (resp. weakly <em>p</em>-summable and Dunford-Pettis) sequences in a Banach space are used to obtain a characterization of weak normal structure of order <em>p</em> (resp. Right normal structure of order <em>p</em>). It is proved that a Banach space has weak normal structure of order <em>p</em> (resp. Right normal structure of order <em>p</em>) if and only if it has the weak fixed point property of order <em>p</em> (resp. Right fixed point property of order <em>p</em>) for non-expansive mappings with respect to orbits.</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"555 1","pages":"Article 130044"},"PeriodicalIF":1.2000,"publicationDate":"2025-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Weak fixed point property of order p with respect to orbits\",\"authors\":\"Halimeh Ardakani ,&nbsp;Kamal Fallahi\",\"doi\":\"10.1016/j.jmaa.2025.130044\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>In this note, weakly <em>p</em>-summable (resp. weakly <em>p</em>-summable and Dunford-Pettis) sequences in a Banach space are used to obtain a characterization of weak normal structure of order <em>p</em> (resp. Right normal structure of order <em>p</em>). It is proved that a Banach space has weak normal structure of order <em>p</em> (resp. Right normal structure of order <em>p</em>) if and only if it has the weak fixed point property of order <em>p</em> (resp. Right fixed point property of order <em>p</em>) for non-expansive mappings with respect to orbits.</div></div>\",\"PeriodicalId\":50147,\"journal\":{\"name\":\"Journal of Mathematical Analysis and Applications\",\"volume\":\"555 1\",\"pages\":\"Article 130044\"},\"PeriodicalIF\":1.2000,\"publicationDate\":\"2025-09-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Mathematical Analysis and Applications\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0022247X2500825X\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Analysis and Applications","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022247X2500825X","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0

摘要

在本注中,弱p可和(参见p。利用Banach空间中的弱p可和序列和Dunford-Pettis序列,得到了p阶弱正规结构的一个表征。p阶的右正规结构。证明了Banach空间具有p阶的弱正规结构。p阶的右正规结构当且仅当它具有p阶的弱不动点性质。关于轨道的非膨胀映射的p阶右不动点性质。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Weak fixed point property of order p with respect to orbits
In this note, weakly p-summable (resp. weakly p-summable and Dunford-Pettis) sequences in a Banach space are used to obtain a characterization of weak normal structure of order p (resp. Right normal structure of order p). It is proved that a Banach space has weak normal structure of order p (resp. Right normal structure of order p) if and only if it has the weak fixed point property of order p (resp. Right fixed point property of order p) for non-expansive mappings with respect to orbits.
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
CiteScore
2.50
自引率
7.70%
发文量
790
审稿时长
6 months
期刊介绍: The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. Papers are sought which employ one or more of the following areas of classical analysis: • Analytic number theory • Functional analysis and operator theory • Real and harmonic analysis • Complex analysis • Numerical analysis • Applied mathematics • Partial differential equations • Dynamical systems • Control and Optimization • Probability • Mathematical biology • Combinatorics • Mathematical physics.
×
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:604180095
Book学术官方微信