{"title":"$b$-Menger空间中具有循环压缩条件的不动点定理","authors":"A. Mbarki, R. Oubrahim","doi":"10.30697/RFPTA-2018-005","DOIUrl":null,"url":null,"abstract":"In this work, we prove a fixed point theorems in b-Menger spaces (Mbarki et al., Probabilistic b-metric spaces and nonlinear contractions, Fixed Point Theory Appl. 2017, Paper No. 29, 15 p. (2017)) using probabilistic contraction [13] with cyclical conditions. We support our results by an example.","PeriodicalId":119592,"journal":{"name":"Results in Fixed Point Theory and Applications","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Fixed point theorems with cyclical contractive conditions in $b$-Menger spaces\",\"authors\":\"A. Mbarki, R. Oubrahim\",\"doi\":\"10.30697/RFPTA-2018-005\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this work, we prove a fixed point theorems in b-Menger spaces (Mbarki et al., Probabilistic b-metric spaces and nonlinear contractions, Fixed Point Theory Appl. 2017, Paper No. 29, 15 p. (2017)) using probabilistic contraction [13] with cyclical conditions. We support our results by an example.\",\"PeriodicalId\":119592,\"journal\":{\"name\":\"Results in Fixed Point Theory and Applications\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-10-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Results in Fixed Point Theory and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.30697/RFPTA-2018-005\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Results in Fixed Point Theory and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.30697/RFPTA-2018-005","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
摘要
在这项工作中,我们证明了b-Menger空间中的一个不动点定理(Mbarki et al.,概率b-metric空间和非线性收缩,不动点理论应用,2017,论文No. 29, 15 p.(2017)),使用周期性条件下的概率收缩[13]。我们通过一个例子来支持我们的结果。
Fixed point theorems with cyclical contractive conditions in $b$-Menger spaces
In this work, we prove a fixed point theorems in b-Menger spaces (Mbarki et al., Probabilistic b-metric spaces and nonlinear contractions, Fixed Point Theory Appl. 2017, Paper No. 29, 15 p. (2017)) using probabilistic contraction [13] with cyclical conditions. We support our results by an example.