Nabil Mlaiki , Syed Khayyam Shah , Muhammad Sarwar
{"title":"有理型收缩及其在扩展 b 计量空间中的应用","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":"{\"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}","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
摘要
本文研究了扩展 b 度量空间中一些有理型收缩的分析,建立了有理型收缩的理论基础,并展示了它们在 Volterra 积分夹杂和 Urysohn 积分方程中的应用。为了证明结论的真实性,我们提供了一些实例。
Rational-type contractions and their applications in extended b-metric spaces
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.