{"title":"Fixed Point Property in G-Complete Fuzzy Metric Space","authors":"Ismail Tahiri, Ahmed Nuino","doi":"arxiv-2407.15271","DOIUrl":null,"url":null,"abstract":"Our purpose of this paper is to focus on fixed point property in fuzzy metric\nspace. To achieve our objective, we will introduce a new contraction condition\nto examine the fixed point for multi-valued mapping, then we will be\ninvestigating the obtained result to ensure the existence and uniqueness of\nthis property for single-valued mapping. To show the use of our main result, we\nwill give the relative result in the ordinary metric space.","PeriodicalId":501502,"journal":{"name":"arXiv - MATH - General Mathematics","volume":"24 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - General Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2407.15271","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
Our purpose of this paper is to focus on fixed point property in fuzzy metric
space. To achieve our objective, we will introduce a new contraction condition
to examine the fixed point for multi-valued mapping, then we will be
investigating the obtained result to ensure the existence and uniqueness of
this property for single-valued mapping. To show the use of our main result, we
will give the relative result in the ordinary metric space.