{"title":"Fixed points for intimate mappings","authors":"","doi":"10.28919/jmcs/7017","DOIUrl":null,"url":null,"abstract":"unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract. In this paper, we introduce (ψ,φ)-weak contraction condition that involves cubic terms of distance function. We prove some fixed point theorems for pairs of intimate mappings satisfying newly introduced contraction condition and generalize the result of Murthy and Prasad [14] and Jain et al. [8]. At the end, an application for integral type contraction condition is given.","PeriodicalId":36607,"journal":{"name":"Journal of Mathematical and Computational Science","volume":"101 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical and Computational Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.28919/jmcs/7017","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
unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract. In this paper, we introduce (ψ,φ)-weak contraction condition that involves cubic terms of distance function. We prove some fixed point theorems for pairs of intimate mappings satisfying newly introduced contraction condition and generalize the result of Murthy and Prasad [14] and Jain et al. [8]. At the end, an application for integral type contraction condition is given.
在任何媒介上不受限制地使用、分发和复制，只要正确地引用原创作品。摘要本文引入了(ψ，φ)-弱收缩条件，该条件涉及距离函数的三次项。我们证明了满足新引入的收缩条件的亲密映射对的不动点定理，并推广了Murthy and Prasad[14]和Jain et al.[8]的结果。最后给出了整型收缩条件的一个应用。
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