{"title":"Common fixed points for generalized contractions in uniform spaces endowed with a graph","authors":"B. Hosseini, A. Mirmostafaee","doi":"10.24193/mathcluj.2020.1.06","DOIUrl":null,"url":null,"abstract":"In this paper, we will define a new kind of generalized contractions to establish some common fixed point theorems for self-mappings on Hausdorff uniform spaces endowed with a graph. This new notion enables us to extend some known results in the literature. We also show that our results can be applied to a homotopy theorem. Related examples are also given to support our main results. MSC 2010. Primary: 47H10; Secondary: 47H9,54E15, 05C40, 54H25.","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":"1 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2020-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.24193/mathcluj.2020.1.06","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we will define a new kind of generalized contractions to establish some common fixed point theorems for self-mappings on Hausdorff uniform spaces endowed with a graph. This new notion enables us to extend some known results in the literature. We also show that our results can be applied to a homotopy theorem. Related examples are also given to support our main results. MSC 2010. Primary: 47H10; Secondary: 47H9,54E15, 05C40, 54H25.
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