{"title":"Common fixed point results of $s$-$\\alpha $ contraction for a pair of maps in $b$-dislocated metric spaces","authors":"Abdissa Fekadu, Kidane Koyas, S. Gebregiorgis","doi":"10.30538/PSRP-OMA2020.0073","DOIUrl":null,"url":null,"abstract":"The purpose of this article is to construct fixed point theorems and prove the existence and uniqueness of common fixed point results of \\( s-\\alpha \\) contraction for a pair of maps in the setting of \\( b \\) - dislocated metric spaces. Our results extend and generalize several well-known comparable results in the literature. The study procedure we used was that of Zoto and Kumari [1]. Furthermore, we provided an example in support of our main result.","PeriodicalId":52741,"journal":{"name":"Open Journal of Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2020-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Open Journal of Mathematical Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.30538/PSRP-OMA2020.0073","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
The purpose of this article is to construct fixed point theorems and prove the existence and uniqueness of common fixed point results of \( s-\alpha \) contraction for a pair of maps in the setting of \( b \) - dislocated metric spaces. Our results extend and generalize several well-known comparable results in the literature. The study procedure we used was that of Zoto and Kumari [1]. Furthermore, we provided an example in support of our main result.