{"title":"Best proximity point of modified Suzuki-Edelstein-Geraghty type proximal contractions","authors":"Leta Bekere Kumssa","doi":"10.30538/PSRP-EASL2020.0055","DOIUrl":null,"url":null,"abstract":"In this paper, we introduce the notion of modified Suzuki-Edelstein-Geraghty proximal contraction and prove the existence and uniqueness of best proximity point for such mappings. Our results extend and unify many existing results in the literature. We draw corollaries and give illustrative example to demonstrate the validity of our result.","PeriodicalId":11518,"journal":{"name":"Engineering and Applied Science Letters","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2020-12-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Engineering and Applied Science Letters","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.30538/PSRP-EASL2020.0055","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
In this paper, we introduce the notion of modified Suzuki-Edelstein-Geraghty proximal contraction and prove the existence and uniqueness of best proximity point for such mappings. Our results extend and unify many existing results in the literature. We draw corollaries and give illustrative example to demonstrate the validity of our result.