{"title":"A New Approach to Fixed Point Theorems on a Metric Space Endowed with Graph","authors":"R. Hemavathy, R. Om Gayathri","doi":"10.12691/ajams-10-3-1","DOIUrl":null,"url":null,"abstract":"In this paper, a new approach has been discussed to define the graph associated with the metric space and the iteration function is used to define its sub-graph. Subsequently, the fixed point theorems by Banach, Kannan, Chatterjea and Ciric are obtained using this new approach.","PeriodicalId":91196,"journal":{"name":"American journal of applied mathematics and statistics","volume":"8 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"American journal of applied mathematics and statistics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12691/ajams-10-3-1","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, a new approach has been discussed to define the graph associated with the metric space and the iteration function is used to define its sub-graph. Subsequently, the fixed point theorems by Banach, Kannan, Chatterjea and Ciric are obtained using this new approach.