Subbarayan Poornavel, Natarajan Balamurugan, Hasanen A. Hammad
{"title":"Some common fixed point theorems on tricomplex valued parametric metric space","authors":"Subbarayan Poornavel, Natarajan Balamurugan, Hasanen A. Hammad","doi":"10.56947/amcs.v20.248","DOIUrl":null,"url":null,"abstract":"The goal of this manuscript is to present the concept of tricomplex-valued parametric metric space. In this space, some common fixed-point theorems are introduced. Our results unify and generalize many papers in the same direction. Moreover, some illustrative examples are presented to support the theoretical results. Finally, our results are applied to find the existence of a solution to a linear system of equations.","PeriodicalId":504658,"journal":{"name":"Annals of Mathematics and Computer Science","volume":"15 7","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annals of Mathematics and Computer Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.56947/amcs.v20.248","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 goal of this manuscript is to present the concept of tricomplex-valued parametric metric space. In this space, some common fixed-point theorems are introduced. Our results unify and generalize many papers in the same direction. Moreover, some illustrative examples are presented to support the theoretical results. Finally, our results are applied to find the existence of a solution to a linear system of equations.