{"title":"迭代非展开映射族在每次重规范下的特征描述","authors":"Víctor Pérez-García, F. E. Castillo-Santos","doi":"10.12775/tmna.2024.006","DOIUrl":null,"url":null,"abstract":"We characterize the family of iterated nonexpansive mappings that\nare stable under every renorming. The family of iterated nonexpansive\nmappings contains the family of nonexpansive mappings, it also contains\nquasi-nonexpansive and Suzuki's (C)-type mappings with fixed points,\namong others. We also give the corresponding characterizations for\nquasi-nonexpansive and some Suzuki's (C)-type mappings with fixed points.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A characterization of the family of iterated nonexpansive mappings under every renorming\",\"authors\":\"Víctor Pérez-García, F. E. Castillo-Santos\",\"doi\":\"10.12775/tmna.2024.006\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We characterize the family of iterated nonexpansive mappings that\\nare stable under every renorming. The family of iterated nonexpansive\\nmappings contains the family of nonexpansive mappings, it also contains\\nquasi-nonexpansive and Suzuki's (C)-type mappings with fixed points,\\namong others. We also give the corresponding characterizations for\\nquasi-nonexpansive and some Suzuki's (C)-type mappings with fixed points.\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-03-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.12775/tmna.2024.006\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.12775/tmna.2024.006","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A characterization of the family of iterated nonexpansive mappings under every renorming
We characterize the family of iterated nonexpansive mappings that
are stable under every renorming. The family of iterated nonexpansive
mappings contains the family of nonexpansive mappings, it also contains
quasi-nonexpansive and Suzuki's (C)-type mappings with fixed points,
among others. We also give the corresponding characterizations for
quasi-nonexpansive and some Suzuki's (C)-type mappings with fixed points.
分享
京公网安备 11010802042870号
京ICP备2023020795号-1
求助内容：
应助结果提醒方式：
扫码关注我们
