{"title":"配备曼迭代方案的卡南和查特杰亚类型循环收缩映射的结果","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":"{\"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}","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}
Results for cyclic contractive mappings of Kannan and Chatterjea type equipped with Mann’s iterative scheme
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.