{"title":"度量型空间中压缩映射的公共不动点与多重不动点","authors":"Hallowed Olaoluwa, Johnson Olaleru","doi":"10.1016/j.jnnms.2015.06.001","DOIUrl":null,"url":null,"abstract":"<div><p>This research work entails the study of the existence of common fixed points of some Ciric classes of contractive mappings in cone <span><math><mi>b</mi></math></span>-metric spaces. The main result obtained unifies, improves and generalizes several results in literature including those of Abbas et al. (2010) and Huang and Xu (2012). Furthermore, as a way of applications, the result is used to discuss common coupled, tripled and multipled fixed points of contractive maps defined on cone <span><math><mi>b</mi></math></span>-metric spaces, via product cone <span><math><mi>b</mi></math></span>-metric spaces.</p></div>","PeriodicalId":17275,"journal":{"name":"Journal of the Nigerian Mathematical Society","volume":"34 3","pages":"Pages 249-258"},"PeriodicalIF":0.0000,"publicationDate":"2015-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jnnms.2015.06.001","citationCount":"4","resultStr":"{\"title\":\"On common fixed points and multipled fixed points of contractive mappings in metric-type spaces\",\"authors\":\"Hallowed Olaoluwa, Johnson Olaleru\",\"doi\":\"10.1016/j.jnnms.2015.06.001\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>This research work entails the study of the existence of common fixed points of some Ciric classes of contractive mappings in cone <span><math><mi>b</mi></math></span>-metric spaces. The main result obtained unifies, improves and generalizes several results in literature including those of Abbas et al. (2010) and Huang and Xu (2012). Furthermore, as a way of applications, the result is used to discuss common coupled, tripled and multipled fixed points of contractive maps defined on cone <span><math><mi>b</mi></math></span>-metric spaces, via product cone <span><math><mi>b</mi></math></span>-metric spaces.</p></div>\",\"PeriodicalId\":17275,\"journal\":{\"name\":\"Journal of the Nigerian Mathematical Society\",\"volume\":\"34 3\",\"pages\":\"Pages 249-258\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/j.jnnms.2015.06.001\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of the Nigerian Mathematical Society\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0189896515000335\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the Nigerian Mathematical Society","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0189896515000335","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 4
摘要
本文研究了锥b-度量空间中若干类压缩映射的公共不动点的存在性。得到的主要结果统一、改进和推广了Abbas et al.(2010)和Huang and Xu(2012)等文献的结果。进一步,作为一种应用方法,通过积锥b-度量空间讨论了锥b-度量空间上定义的压缩映射的公耦合、三倍和多重不动点。
On common fixed points and multipled fixed points of contractive mappings in metric-type spaces
This research work entails the study of the existence of common fixed points of some Ciric classes of contractive mappings in cone -metric spaces. The main result obtained unifies, improves and generalizes several results in literature including those of Abbas et al. (2010) and Huang and Xu (2012). Furthermore, as a way of applications, the result is used to discuss common coupled, tripled and multipled fixed points of contractive maps defined on cone -metric spaces, via product cone -metric spaces.