{"title":"模糊Banach空间中泛函方程的不动点法及其应用","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":"{\"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}","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}
The fixed point method and application of functional equations in fuzzy Banach space
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.
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