{"title":"有序度量空间中弱压缩映射的不动点定理及其应用","authors":"Gopi Prasad null, R. Dimri","doi":"10.4208/ata.oa-2017-0044","DOIUrl":null,"url":null,"abstract":". In this paper, we prove fixed point theorem for weakly contractive mappings using locally T -transitivity of binary relation and presenting an analogous ver-sion of Harjani and Sadarangani theorem involving more general relation theoretic metrical notions. Our fixed point results under universal relation reduces to Harjani and Sadarangani [Nonlinear Anal., 71 (2009), 3403–3410] fixed point theorems. In this way we also generalize some of the recent fixed point theorems for weak contraction in the existing literature.","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":"25 1","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Fixed Point Theorems for Weakly Contractive Mappings in Ordered Metric Spaces with an Application\",\"authors\":\"Gopi Prasad null, R. Dimri\",\"doi\":\"10.4208/ata.oa-2017-0044\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". In this paper, we prove fixed point theorem for weakly contractive mappings using locally T -transitivity of binary relation and presenting an analogous ver-sion of Harjani and Sadarangani theorem involving more general relation theoretic metrical notions. Our fixed point results under universal relation reduces to Harjani and Sadarangani [Nonlinear Anal., 71 (2009), 3403–3410] fixed point theorems. In this way we also generalize some of the recent fixed point theorems for weak contraction in the existing literature.\",\"PeriodicalId\":29763,\"journal\":{\"name\":\"Analysis in Theory and Applications\",\"volume\":\"25 1\",\"pages\":\"\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2022-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Analysis in Theory and Applications\",\"FirstCategoryId\":\"95\",\"ListUrlMain\":\"https://doi.org/10.4208/ata.oa-2017-0044\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Analysis in Theory and Applications","FirstCategoryId":"95","ListUrlMain":"https://doi.org/10.4208/ata.oa-2017-0044","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
Fixed Point Theorems for Weakly Contractive Mappings in Ordered Metric Spaces with an Application
. In this paper, we prove fixed point theorem for weakly contractive mappings using locally T -transitivity of binary relation and presenting an analogous ver-sion of Harjani and Sadarangani theorem involving more general relation theoretic metrical notions. Our fixed point results under universal relation reduces to Harjani and Sadarangani [Nonlinear Anal., 71 (2009), 3403–3410] fixed point theorems. In this way we also generalize some of the recent fixed point theorems for weak contraction in the existing literature.
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