{"title":"凸轨道非展开型映射的定点结果","authors":"E. Llorens-Fuster","doi":"10.12775/tmna.2023.047","DOIUrl":null,"url":null,"abstract":"We define some classes of generalized nonexpansive mappings under assumptions concerning the convex combinations of two consecutive points in their orbits. \nFor these mappings, in the setting of Banach spaces that enjoy normal structure, we provide several fixed point results.","PeriodicalId":23130,"journal":{"name":"Topological Methods in Nonlinear Analysis","volume":null,"pages":null},"PeriodicalIF":0.7000,"publicationDate":"2024-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Fixed point results for convex orbital nonexpansive type mappings\",\"authors\":\"E. Llorens-Fuster\",\"doi\":\"10.12775/tmna.2023.047\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We define some classes of generalized nonexpansive mappings under assumptions concerning the convex combinations of two consecutive points in their orbits. \\nFor these mappings, in the setting of Banach spaces that enjoy normal structure, we provide several fixed point results.\",\"PeriodicalId\":23130,\"journal\":{\"name\":\"Topological Methods in Nonlinear Analysis\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2024-03-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Topological Methods in Nonlinear Analysis\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.12775/tmna.2023.047\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Topological Methods in Nonlinear Analysis","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.12775/tmna.2023.047","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
Fixed point results for convex orbital nonexpansive type mappings
We define some classes of generalized nonexpansive mappings under assumptions concerning the convex combinations of two consecutive points in their orbits.
For these mappings, in the setting of Banach spaces that enjoy normal structure, we provide several fixed point results.
期刊介绍:
Topological Methods in Nonlinear Analysis (TMNA) publishes research and survey papers on a wide range of nonlinear analysis, giving preference to those that employ topological methods. Papers in topology that are of interest in the treatment of nonlinear problems may also be included.