{"title":"A COMMON FIXED POINT THEOREM IN MENGER SPACE WITH COMPATIBLE MAPPING OF TYPE (K)","authors":"A.J. Chaudhary, K. Jha, K. B. Manandhar","doi":"10.37418/amsj.11.10.6","DOIUrl":null,"url":null,"abstract":"The notion of compatible mappings of type $(K)$ in metric space has been introduced by K. Jha, V. Popa, and K.B. Manandhar in 2014. In this paper, we use Meir-Keeler contractive type condition and establish a common fixed point theorem in Menger probabilistic metric space by using compatible mappings of type $(K)$. Our results generalize and improve several similar known results in the literature.","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":"258 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in Mathematics: Scientific Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.37418/amsj.11.10.6","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
The notion of compatible mappings of type $(K)$ in metric space has been introduced by K. Jha, V. Popa, and K.B. Manandhar in 2014. In this paper, we use Meir-Keeler contractive type condition and establish a common fixed point theorem in Menger probabilistic metric space by using compatible mappings of type $(K)$. Our results generalize and improve several similar known results in the literature.
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