{"title":"Common Fixed Point Theorems in Fuzzy Metric Space","authors":"Swati Agnihotri, K. K. Dubey, V. Gupta","doi":"10.5958/2454-762X.2018.00021.5","DOIUrl":null,"url":null,"abstract":"In this paper we use the concept of fuzzy metric space introduced by Kramosil and Michalek and modified by George and Veeramani with the help of t-norm. The purpose of this paper is to establish a common fixed point theorem for seven self-mappings in fuzzy metric space using weak compatibility and generalizing the result of Govery A. and Singh M.[10] and also we cite an example in support of our result. AMS (2000) Subject Classification: 54H25, 47H10.","PeriodicalId":14491,"journal":{"name":"Invertis Journal of Science & Technology","volume":"173 1","pages":"159"},"PeriodicalIF":0.0000,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Invertis Journal of Science & Technology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5958/2454-762X.2018.00021.5","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper we use the concept of fuzzy metric space introduced by Kramosil and Michalek and modified by George and Veeramani with the help of t-norm. The purpose of this paper is to establish a common fixed point theorem for seven self-mappings in fuzzy metric space using weak compatibility and generalizing the result of Govery A. and Singh M.[10] and also we cite an example in support of our result. AMS (2000) Subject Classification: 54H25, 47H10.
本文采用了Kramosil和Michalek引入的模糊度量空间的概念,George和Veeramani利用t范数对模糊度量空间进行了修正。本文的目的是利用弱相容性,推广Govery a .和Singh M.[10]的结果,建立模糊度量空间中7个自映射的公共不动点定理,并引用了一个例子来支持我们的结果。AMS(2000)学科分类:54H25, 47H10。