{"title":"Results for cyclic contractive mappings of Kannan and Chatterjea type equipped with Mann’s iterative scheme","authors":"Amna Naz , Samina Batul , Sarah Aljohani , Nabil Mlaiki","doi":"10.1016/j.padiff.2025.101145","DOIUrl":null,"url":null,"abstract":"<div><div>Recently, Khaleel et al. presented the innovative cyclic contractions of the Chatterjea and Kannan type and derived certain results with the help of Picard’s iterative scheme in the context of <span><math><mi>G</mi></math></span>-metric spaces. Motivated by these new contractions, certain fixed point results are obtained in <span><math><msub><mrow><mi>G</mi></mrow><mrow><mi>b</mi></mrow></msub></math></span>-metric spaces using Mann’s iterative scheme. An example is provided to elaborate the results obtained. An application is given to validate the results.</div></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"13 ","pages":"Article 101145"},"PeriodicalIF":0.0000,"publicationDate":"2025-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Partial Differential Equations in Applied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2666818125000725","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 0
Abstract
Recently, Khaleel et al. presented the innovative cyclic contractions of the Chatterjea and Kannan type and derived certain results with the help of Picard’s iterative scheme in the context of -metric spaces. Motivated by these new contractions, certain fixed point results are obtained in -metric spaces using Mann’s iterative scheme. An example is provided to elaborate the results obtained. An application is given to validate the results.
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