Common fixed-point theorems via notion of Pairwise Semi-Compatible Mappings and Occasionally Weakly Compatible Mappings (OWC) for six self-mappings in fuzzy metric spaces
{"title":"Common fixed-point theorems via notion of Pairwise Semi-Compatible Mappings and Occasionally Weakly Compatible Mappings (OWC) for six self-mappings in fuzzy metric spaces","authors":"Singh T. Rakesh","doi":"10.26634/jmat.12.1.19308","DOIUrl":null,"url":null,"abstract":"The notion of occasionally weakly compatible mappings, and Semi compatible mappings in fuzzy metric space is discussed in this research. The paper investigates the Common fixed-point theorems in fuzzy metric spaces. By taking the property of commutativity of pair mappings, the pairwise semi-compatible mappings and occasionally weakly compatible mappings, satisfying constructive type condition for six self-mappings the common fixed-point theorems in fuzzy metric spaces were proved. The result improves and generalizes other similar results in the literature.","PeriodicalId":297202,"journal":{"name":"i-manager’s Journal on Mathematics","volume":"77 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"i-manager’s Journal on Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.26634/jmat.12.1.19308","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract
The notion of occasionally weakly compatible mappings, and Semi compatible mappings in fuzzy metric space is discussed in this research. The paper investigates the Common fixed-point theorems in fuzzy metric spaces. By taking the property of commutativity of pair mappings, the pairwise semi-compatible mappings and occasionally weakly compatible mappings, satisfying constructive type condition for six self-mappings the common fixed-point theorems in fuzzy metric spaces were proved. The result improves and generalizes other similar results in the literature.
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