{"title":"\\(b\\) -度量空间中广义\\(\\left( \\psi ,\\varphi ,F\\right) \\) -收缩型映射的不动点定理及其应用","authors":"T. Hamaizia","doi":"10.30538/psrp-oma2021.0080","DOIUrl":null,"url":null,"abstract":"The purpose of this paper is to prove a fixed point theorem for \\(C\\)-class functions in complete \\(b\\)-metric spaces. Moreover, the solution of the integral equation is obtained using our main result.","PeriodicalId":52741,"journal":{"name":"Open Journal of Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Fixed point theorems for generalized \\\\(\\\\left( \\\\psi ,\\\\varphi ,F\\\\right) \\\\)-contraction type mappings in \\\\(b\\\\)-metric spaces with applications\",\"authors\":\"T. Hamaizia\",\"doi\":\"10.30538/psrp-oma2021.0080\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The purpose of this paper is to prove a fixed point theorem for \\\\(C\\\\)-class functions in complete \\\\(b\\\\)-metric spaces. Moreover, the solution of the integral equation is obtained using our main result.\",\"PeriodicalId\":52741,\"journal\":{\"name\":\"Open Journal of Mathematical Analysis\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Open Journal of Mathematical Analysis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.30538/psrp-oma2021.0080\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Open Journal of Mathematical Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.30538/psrp-oma2021.0080","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Fixed point theorems for generalized \(\left( \psi ,\varphi ,F\right) \)-contraction type mappings in \(b\)-metric spaces with applications
The purpose of this paper is to prove a fixed point theorem for \(C\)-class functions in complete \(b\)-metric spaces. Moreover, the solution of the integral equation is obtained using our main result.