{"title":"$b$位错度量空间中一对映射的$s$-$\\ α $收缩的公共不动点结果","authors":"Abdissa Fekadu, Kidane Koyas, S. Gebregiorgis","doi":"10.30538/PSRP-OMA2020.0073","DOIUrl":null,"url":null,"abstract":"The purpose of this article is to construct fixed point theorems and prove the existence and uniqueness of common fixed point results of \\( s-\\alpha \\) contraction for a pair of maps in the setting of \\( b \\) - dislocated metric spaces. Our results extend and generalize several well-known comparable results in the literature. The study procedure we used was that of Zoto and Kumari [1]. Furthermore, we provided an example in support of our main result.","PeriodicalId":52741,"journal":{"name":"Open Journal of Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2020-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Common fixed point results of $s$-$\\\\alpha $ contraction for a pair of maps in $b$-dislocated metric spaces\",\"authors\":\"Abdissa Fekadu, Kidane Koyas, S. Gebregiorgis\",\"doi\":\"10.30538/PSRP-OMA2020.0073\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The purpose of this article is to construct fixed point theorems and prove the existence and uniqueness of common fixed point results of \\\\( s-\\\\alpha \\\\) contraction for a pair of maps in the setting of \\\\( b \\\\) - dislocated metric spaces. Our results extend and generalize several well-known comparable results in the literature. The study procedure we used was that of Zoto and Kumari [1]. Furthermore, we provided an example in support of our main result.\",\"PeriodicalId\":52741,\"journal\":{\"name\":\"Open Journal of Mathematical Analysis\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-12-16\",\"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-OMA2020.0073\",\"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-OMA2020.0073","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
本文的目的是构造\( b \)位错度量空间中一对映射的不动点定理,并证明了\( s-\alpha \)收缩的公共不动点结果的存在唯一性。我们的结果扩展和推广了文献中几个著名的可比结果。我们采用Zoto和Kumari bbb的研究程序。此外,我们还提供了一个例子来支持我们的主要结果。
Common fixed point results of $s$-$\alpha $ contraction for a pair of maps in $b$-dislocated metric spaces
The purpose of this article is to construct fixed point theorems and prove the existence and uniqueness of common fixed point results of \( s-\alpha \) contraction for a pair of maps in the setting of \( b \) - dislocated metric spaces. Our results extend and generalize several well-known comparable results in the literature. The study procedure we used was that of Zoto and Kumari [1]. Furthermore, we provided an example in support of our main result.