Abdullah Shoaib , Muhammd Arshad , Tahair Rasham , Mujahid Abbas
{"title":"Unique fixed point results on closed ball for dislocated quasi G-metric spaces","authors":"Abdullah Shoaib , Muhammd Arshad , Tahair Rasham , Mujahid Abbas","doi":"10.1016/j.trmi.2017.01.002","DOIUrl":null,"url":null,"abstract":"<div><p>The aim of this paper is to introduce the new concept of ordered complete dislocated quasi <span><math><mi>G</mi></math></span>-metric space. The notion of dominated mappings is applied to approximate the unique solution of non linear functional equations. In this paper, we find the fixed point results for mappings satisfying the locally contractive conditions on a closed ball in an ordered complete dislocated quasi <span><math><mi>G</mi></math></span>-metric space. Our results improve several well known classical results.</p></div>","PeriodicalId":43623,"journal":{"name":"Transactions of A Razmadze Mathematical Institute","volume":"171 2","pages":"Pages 221-230"},"PeriodicalIF":0.3000,"publicationDate":"2017-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.trmi.2017.01.002","citationCount":"12","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Transactions of A Razmadze Mathematical Institute","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2346809216300265","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 12
Abstract
The aim of this paper is to introduce the new concept of ordered complete dislocated quasi -metric space. The notion of dominated mappings is applied to approximate the unique solution of non linear functional equations. In this paper, we find the fixed point results for mappings satisfying the locally contractive conditions on a closed ball in an ordered complete dislocated quasi -metric space. Our results improve several well known classical results.
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