{"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":23130,"journal":{"name":"Topological Methods in Nonlinear Analysis","volume":null,"pages":null},"PeriodicalIF":0.7000,"publicationDate":"2024-03-19","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.2024.006","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
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.
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.
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