{"title":"Coupled Coincidence and Common Fixed Point Theorems for Set-valued and Single-valued Mappings in fuzzy Metric Space","authors":"Naval Singh, R. Jain","doi":"10.5899/2012/JFSVA-00129","DOIUrl":null,"url":null,"abstract":"In this paper, we define the tangential property and the generalized coincidence property for a pair of set-valued and single-valued mappings and use it to prove some coupled coincidence and common fixed point theorems for a hybrid pair of mappings without appeal to the completeness of the underlying space.","PeriodicalId":308518,"journal":{"name":"Journal of Fuzzy Set Valued Analysis","volume":"25 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Fuzzy Set Valued Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5899/2012/JFSVA-00129","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 8
Abstract
In this paper, we define the tangential property and the generalized coincidence property for a pair of set-valued and single-valued mappings and use it to prove some coupled coincidence and common fixed point theorems for a hybrid pair of mappings without appeal to the completeness of the underlying space.