{"title":"具有f压缩迭代的映射的不动点定理","authors":"A. Öztürk","doi":"10.31197/atnaa.644325","DOIUrl":null,"url":null,"abstract":"In this paper, we introduce the notion of $F$-contraction in the setting of complete metric space and we prove a fixed point theorem for $F$-contractive iteration.","PeriodicalId":7440,"journal":{"name":"Advances in the Theory of Nonlinear Analysis and its Application","volume":"1 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2019-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"11","resultStr":"{\"title\":\"A fixed point theorem for mappings with a F-contractive iterate\",\"authors\":\"A. Öztürk\",\"doi\":\"10.31197/atnaa.644325\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we introduce the notion of $F$-contraction in the setting of complete metric space and we prove a fixed point theorem for $F$-contractive iteration.\",\"PeriodicalId\":7440,\"journal\":{\"name\":\"Advances in the Theory of Nonlinear Analysis and its Application\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-12-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"11\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Advances in the Theory of Nonlinear Analysis and its Application\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.31197/atnaa.644325\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in the Theory of Nonlinear Analysis and its Application","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.31197/atnaa.644325","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A fixed point theorem for mappings with a F-contractive iterate
In this paper, we introduce the notion of $F$-contraction in the setting of complete metric space and we prove a fixed point theorem for $F$-contractive iteration.