Nabil Mlaiki , Syed Khayyam Shah , Muhammad Sarwar
{"title":"Rational-type contractions and their applications in extended b-metric spaces","authors":"Nabil Mlaiki , Syed Khayyam Shah , Muhammad Sarwar","doi":"10.1016/j.rico.2024.100456","DOIUrl":null,"url":null,"abstract":"<div><p>This paper examines the analysis of some rational-type contractions within the context of extended b-metric spaces, establishes a theoretical foundation for rational-type contractions and demonstrates their application in Volterra integral inclusions and Urysohn integral equations. Some examples are provided for the authenticity of the findings.</p></div>","PeriodicalId":34733,"journal":{"name":"Results in Control and Optimization","volume":"16 ","pages":"Article 100456"},"PeriodicalIF":0.0000,"publicationDate":"2024-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2666720724000869/pdfft?md5=9fedb89cc2219d491d45521f31dc686c&pid=1-s2.0-S2666720724000869-main.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Results in Control and Optimization","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2666720724000869","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 0
Abstract
This paper examines the analysis of some rational-type contractions within the context of extended b-metric spaces, establishes a theoretical foundation for rational-type contractions and demonstrates their application in Volterra integral inclusions and Urysohn integral equations. Some examples are provided for the authenticity of the findings.