{"title":"关于非膨胀图的宇宙收敛性的评论。","authors":"Armando W Gutiérrez, Anders Karlsson","doi":"10.1007/s11784-021-00896-8","DOIUrl":null,"url":null,"abstract":"<p><p>This note discusses some aspects of the asymptotic behaviour of nonexpansive maps. Using metric functionals, we make a connection to the invariant subspace problem and prove a new result for nonexpansive maps of <math><msup><mi>ℓ</mi> <mn>1</mn></msup> </math> . We also point out some inaccurate assertions appearing in the literature on this topic.</p>","PeriodicalId":93461,"journal":{"name":"Journal of fixed point theory and Its applications","volume":"23 4","pages":"59"},"PeriodicalIF":0.0000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8591709/pdf/","citationCount":"4","resultStr":"{\"title\":\"Comments on the cosmic convergence of nonexpansive maps.\",\"authors\":\"Armando W Gutiérrez, Anders Karlsson\",\"doi\":\"10.1007/s11784-021-00896-8\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p><p>This note discusses some aspects of the asymptotic behaviour of nonexpansive maps. Using metric functionals, we make a connection to the invariant subspace problem and prove a new result for nonexpansive maps of <math><msup><mi>ℓ</mi> <mn>1</mn></msup> </math> . We also point out some inaccurate assertions appearing in the literature on this topic.</p>\",\"PeriodicalId\":93461,\"journal\":{\"name\":\"Journal of fixed point theory and Its applications\",\"volume\":\"23 4\",\"pages\":\"59\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8591709/pdf/\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of fixed point theory and Its applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1007/s11784-021-00896-8\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"2021/9/6 0:00:00\",\"PubModel\":\"Epub\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of fixed point theory and Its applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1007/s11784-021-00896-8","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2021/9/6 0:00:00","PubModel":"Epub","JCR":"","JCRName":"","Score":null,"Total":0}
Comments on the cosmic convergence of nonexpansive maps.
This note discusses some aspects of the asymptotic behaviour of nonexpansive maps. Using metric functionals, we make a connection to the invariant subspace problem and prove a new result for nonexpansive maps of . We also point out some inaccurate assertions appearing in the literature on this topic.
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