{"title":"扩展矩形b -度量空间中一对广义有理收缩映射的公共不动点","authors":"D. Kiran, M. Kameswari","doi":"10.46753/pjaa.2020.v07i02.008","DOIUrl":null,"url":null,"abstract":"In this paper, we obtain common fixed points for two self maps satisfying a general rational contraction conditions in the frame work of extended rectangular B-metric spaces. In order to justify our results, we have provided some examples. Our results improve and extend the results of Alqahtani et al. [2] and Asim et al. [3]. We apply our results to examine the existence of common fixed points in extended rectangular B-metric spaces equipped with a directed graph.","PeriodicalId":37079,"journal":{"name":"Poincare Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2020-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Common fixed points of a pair of generalized rational contraction maps in extended rectangular B-metric spaces\",\"authors\":\"D. Kiran, M. Kameswari\",\"doi\":\"10.46753/pjaa.2020.v07i02.008\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we obtain common fixed points for two self maps satisfying a general rational contraction conditions in the frame work of extended rectangular B-metric spaces. In order to justify our results, we have provided some examples. Our results improve and extend the results of Alqahtani et al. [2] and Asim et al. [3]. We apply our results to examine the existence of common fixed points in extended rectangular B-metric spaces equipped with a directed graph.\",\"PeriodicalId\":37079,\"journal\":{\"name\":\"Poincare Journal of Analysis and Applications\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-12-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Poincare Journal of Analysis and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.46753/pjaa.2020.v07i02.008\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Poincare Journal of Analysis and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46753/pjaa.2020.v07i02.008","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
在扩展的矩形b -度量空间框架中,我们得到了满足一般有理收缩条件的两个自映射的公共不动点。为了证明我们的结果,我们提供了一些例子。我们的结果改进并扩展了Alqahtani et al.[2]和Asim et al.[3]的结果。我们应用我们的结果来检验具有有向图的扩展矩形b -度量空间中公共不动点的存在性。
Common fixed points of a pair of generalized rational contraction maps in extended rectangular B-metric spaces
In this paper, we obtain common fixed points for two self maps satisfying a general rational contraction conditions in the frame work of extended rectangular B-metric spaces. In order to justify our results, we have provided some examples. Our results improve and extend the results of Alqahtani et al. [2] and Asim et al. [3]. We apply our results to examine the existence of common fixed points in extended rectangular B-metric spaces equipped with a directed graph.