{"title":"On the iterates of uni-and multidimensional operators","authors":"Radu Precup","doi":"10.31926/but.mif.2023.3.65.2.12","DOIUrl":null,"url":null,"abstract":"The problem of the convergence of the iterates of operators or of a sequence of operators is discussed in a general framework related to the fixed point theory, but with a permanent look towards the theory of linear approximation operators. The results are obtained for operators not necessarily linear. Some examples including the class of approximation operators defined by H. Brass are given.","PeriodicalId":505295,"journal":{"name":"Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science","volume":"18 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.31926/but.mif.2023.3.65.2.12","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract
The problem of the convergence of the iterates of operators or of a sequence of operators is discussed in a general framework related to the fixed point theory, but with a permanent look towards the theory of linear approximation operators. The results are obtained for operators not necessarily linear. Some examples including the class of approximation operators defined by H. Brass are given.
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