{"title":"Generalized expansive mapping, equiexpansive mapping in $$C^{*}$$ -algebra valued metric space and some fixed points results","authors":"Rishi Dhariwal, Deepak Kumar","doi":"10.1007/s13226-024-00664-7","DOIUrl":null,"url":null,"abstract":"<p>In this paper, we generalize the idea of expansive mappings and demonstrate various fixed point results within the context of <span>\\(C^*\\)</span>-algebra valued metric space. Furthermore, specific metric space results from the literature are generalized by our results. Some examples are presented here to illustrate the usability of obtained results. These illustrations show that generalized expansive mapping outperforms literature based expansive mappings in terms of benefits.</p>","PeriodicalId":501427,"journal":{"name":"Indian Journal of Pure and Applied Mathematics","volume":"1 1","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":"Indian Journal of Pure and Applied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1007/s13226-024-00664-7","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we generalize the idea of expansive mappings and demonstrate various fixed point results within the context of \(C^*\)-algebra valued metric space. Furthermore, specific metric space results from the literature are generalized by our results. Some examples are presented here to illustrate the usability of obtained results. These illustrations show that generalized expansive mapping outperforms literature based expansive mappings in terms of benefits.
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