{"title":"关于轨道p阶的弱不动点性质","authors":"Halimeh Ardakani , 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 , 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}
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.
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.