{"title":"Most continuous and increasing functions have two different fixed points","authors":"S. Reich, A. Zaslavski","doi":"10.37193/cjm.2023.01.15","DOIUrl":null,"url":null,"abstract":"\"We study the space of all continuous and increasing self-mappings of the real interval $[0,1]$ equipped with the topology of uniform convergence. In particular, we show that most such functions have at least two different fixed points.\"","PeriodicalId":50711,"journal":{"name":"Carpathian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.4000,"publicationDate":"2022-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Carpathian Journal of Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.37193/cjm.2023.01.15","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 1
Abstract
"We study the space of all continuous and increasing self-mappings of the real interval $[0,1]$ equipped with the topology of uniform convergence. In particular, we show that most such functions have at least two different fixed points."
期刊介绍：
Carpathian Journal of Mathematics publishes high quality original research papers and survey articles in all areas of pure and applied mathematics. It will also occasionally publish, as special issues, proceedings of international conferences, generally (co)-organized by the Department of Mathematics and Computer Science, North University Center at Baia Mare. There is no fee for the published papers but the journal offers an Open Access Option to interested contributors.
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