{"title":"用模拟函数证明s -度量空间中的不动点定理","authors":"S. Devi, M. Kumar, S. Devi","doi":"10.9734/arjom/2023/v19i9695","DOIUrl":null,"url":null,"abstract":"We introduce the concept of generalized \\(\\beta\\) - \\(\\gamma\\) - Z contraction mapping with respect to a simulation function ξ and study the existence of fixed points for such mappings in complete -metric spaces. Further, we extend it to partially ordered complete -metric spaces.","PeriodicalId":281529,"journal":{"name":"Asian Research Journal of Mathematics","volume":"56 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Some Fixed Point Theorems in S-metric Spaces via Simulation Function\",\"authors\":\"S. Devi, M. Kumar, S. Devi\",\"doi\":\"10.9734/arjom/2023/v19i9695\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We introduce the concept of generalized \\\\(\\\\beta\\\\) - \\\\(\\\\gamma\\\\) - Z contraction mapping with respect to a simulation function ξ and study the existence of fixed points for such mappings in complete -metric spaces. Further, we extend it to partially ordered complete -metric spaces.\",\"PeriodicalId\":281529,\"journal\":{\"name\":\"Asian Research Journal of Mathematics\",\"volume\":\"56 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-06-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Asian Research Journal of Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.9734/arjom/2023/v19i9695\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Asian Research Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.9734/arjom/2023/v19i9695","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Some Fixed Point Theorems in S-metric Spaces via Simulation Function
We introduce the concept of generalized \(\beta\) - \(\gamma\) - Z contraction mapping with respect to a simulation function ξ and study the existence of fixed points for such mappings in complete -metric spaces. Further, we extend it to partially ordered complete -metric spaces.
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