{"title":"完备度量空间中凸压缩映射的一些不动点定理及其应用","authors":"K. Eke, V. Olisama, S. Bishop","doi":"10.1080/25742558.2019.1655870","DOIUrl":null,"url":null,"abstract":"Abstract In this research work, convexity condition is introduced to some classes of contraction mappings such as Chatterjea and Hardy and Rogers contractive mappings. The fixed points of these maps are proved in complete metric spaces. Example is equally provided to support the main result. The unique solution of nonlinear Fredholm integral equation is obtained via the Hardy and Rogers convex contraction mappings of type 2. The results obtained in this paper, extend and generalize some related works in the literature.","PeriodicalId":92618,"journal":{"name":"Cogent mathematics & statistics","volume":null,"pages":null},"PeriodicalIF":0.1000,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/25742558.2019.1655870","citationCount":"6","resultStr":"{\"title\":\"Some fixed point theorems for convex contractive mappings in complete metric spaces with applications\",\"authors\":\"K. Eke, V. Olisama, S. Bishop\",\"doi\":\"10.1080/25742558.2019.1655870\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract In this research work, convexity condition is introduced to some classes of contraction mappings such as Chatterjea and Hardy and Rogers contractive mappings. The fixed points of these maps are proved in complete metric spaces. Example is equally provided to support the main result. The unique solution of nonlinear Fredholm integral equation is obtained via the Hardy and Rogers convex contraction mappings of type 2. The results obtained in this paper, extend and generalize some related works in the literature.\",\"PeriodicalId\":92618,\"journal\":{\"name\":\"Cogent mathematics & statistics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.1000,\"publicationDate\":\"2019-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1080/25742558.2019.1655870\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Cogent mathematics & statistics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/25742558.2019.1655870\",\"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":"Cogent mathematics & statistics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/25742558.2019.1655870","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
Some fixed point theorems for convex contractive mappings in complete metric spaces with applications
Abstract In this research work, convexity condition is introduced to some classes of contraction mappings such as Chatterjea and Hardy and Rogers contractive mappings. The fixed points of these maps are proved in complete metric spaces. Example is equally provided to support the main result. The unique solution of nonlinear Fredholm integral equation is obtained via the Hardy and Rogers convex contraction mappings of type 2. The results obtained in this paper, extend and generalize some related works in the literature.
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