Ahmed Ghanawi Jasim, Intisar Harbi, Ali Salim Mohammed
{"title":"Homotopy on Smooth Fuzzy Fréchet Manifold","authors":"Ahmed Ghanawi Jasim, Intisar Harbi, Ali Salim Mohammed","doi":"10.52783/cana.v31.859","DOIUrl":null,"url":null,"abstract":" This paper presents definition to a fuzzy FF-smooth homotopy on FF-smooth fuzzy Fréchet manifold and proves that the fuzzy FF-smooth homotopy of a fuzzy path forms an equivalence relation. The researchers also expand the study to include three types of fuzzy FF-smooth homotopy of a fuzzy path, namely a maximal fuzzy FF-smooth homotopy, an internal fuzzy FF-smooth homotopy, and local fuzzy FF-smooth homotopy admitting equivalence relations and a structure of a group.","PeriodicalId":40036,"journal":{"name":"Communications on Applied Nonlinear Analysis","volume":" 11","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications on Applied Nonlinear Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.52783/cana.v31.859","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 0
Abstract
This paper presents definition to a fuzzy FF-smooth homotopy on FF-smooth fuzzy Fréchet manifold and proves that the fuzzy FF-smooth homotopy of a fuzzy path forms an equivalence relation. The researchers also expand the study to include three types of fuzzy FF-smooth homotopy of a fuzzy path, namely a maximal fuzzy FF-smooth homotopy, an internal fuzzy FF-smooth homotopy, and local fuzzy FF-smooth homotopy admitting equivalence relations and a structure of a group.
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