{"title":"2022/07/26 \"Fixed point theorems for nonself generalized contractions on a large Kasahara space\"","authors":"A. Filip","doi":"10.37193/cjm.2022.03.23","DOIUrl":null,"url":null,"abstract":"In this paper we give some fixed point theorems for nonself generalized contractions on a large Kasahara space, which generalize some results given by I.A. Rus and M.-A. \\c Serban (I. A. Rus, M.-A. \\c Serban, {\\it Some fixed point theorems for nonself generalized contractions}, Miskolc Math. Notes, {\\bf 17}(2016), no.2, 1021-1031) and by S. Reich and A.J. Zaslavski (S. Reich, A. J. Zaslavski, {\\it A note on Rakotch contractions}, Fixed Point Theory, {\\bf 9} (2008), no. 1, 267-273) in complete metric spaces. We prove our results without using the completeness of the metric structure.","PeriodicalId":50711,"journal":{"name":"Carpathian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.4000,"publicationDate":"2022-07-26","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.2022.03.23","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
In this paper we give some fixed point theorems for nonself generalized contractions on a large Kasahara space, which generalize some results given by I.A. Rus and M.-A. \c Serban (I. A. Rus, M.-A. \c Serban, {\it Some fixed point theorems for nonself generalized contractions}, Miskolc Math. Notes, {\bf 17}(2016), no.2, 1021-1031) and by S. Reich and A.J. Zaslavski (S. Reich, A. J. Zaslavski, {\it A note on Rakotch contractions}, Fixed Point Theory, {\bf 9} (2008), no. 1, 267-273) in complete metric spaces. We prove our results without using the completeness of the metric structure.
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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