{"title":"The fixed point method and application of functional equations in fuzzy Banach space","authors":"Gang Lyu, Yang Liu, Yuanfeng Jin, Choonkil Park","doi":"10.1007/s13370-025-01327-4","DOIUrl":null,"url":null,"abstract":"<div><p>The aim of this manuscript is to initiate the study of the Banach contraction in fuzzy Banach spaces and apply this theorem to solve the stability of functional equation. A nontrivial example is imparted to illustrate the stability of the proposed methods.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 3","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2025-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Afrika Matematika","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s13370-025-01327-4","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
The aim of this manuscript is to initiate the study of the Banach contraction in fuzzy Banach spaces and apply this theorem to solve the stability of functional equation. A nontrivial example is imparted to illustrate the stability of the proposed methods.