{"title":"模糊度量空间中的公共不动点定理","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":"{\"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}","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
摘要
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。
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.
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