{"title":"Some Fixed Point Theorems in S-metric Spaces via Simulation Function","authors":"S. Devi, M. Kumar, S. Devi","doi":"10.9734/arjom/2023/v19i9695","DOIUrl":null,"url":null,"abstract":"We introduce the concept of generalized \\(\\beta\\) - \\(\\gamma\\) - Z contraction mapping with respect to a simulation function ξ and study the existence of fixed points for such mappings in complete -metric spaces. Further, we extend it to partially ordered complete -metric spaces.","PeriodicalId":281529,"journal":{"name":"Asian Research Journal of Mathematics","volume":"56 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Asian Research Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.9734/arjom/2023/v19i9695","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
We introduce the concept of generalized \(\beta\) - \(\gamma\) - Z contraction mapping with respect to a simulation function ξ and study the existence of fixed points for such mappings in complete -metric spaces. Further, we extend it to partially ordered complete -metric spaces.