{"title":"Fixed points of two interpolative cyclic contractions in <i>b</i>-metric spaces.","authors":"Darsana Devi, Pradip Debnath","doi":"10.1016/j.heliyon.2025.e41667","DOIUrl":null,"url":null,"abstract":"<p><p>The <i>b</i>-metric space happens to be one of the of most significant and non-trivial generalizations of metric spaces. In this paper, we introduce the concepts of Kannan type and Ćirić-Reich-Rus type cyclic contractions in <i>b</i>-metric spaces via interpolation. Existence and uniqueness of fixed points of these two newly introduced contraction mappings have been studied and validated with suitable examples. Our paper also generalizes, extends and provides improvements to the results in the recent paper by Edraoui et al. (2023) [11].</p>","PeriodicalId":12894,"journal":{"name":"Heliyon","volume":"11 1","pages":"e41667"},"PeriodicalIF":3.6000,"publicationDate":"2025-01-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC11761277/pdf/","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Heliyon","FirstCategoryId":"103","ListUrlMain":"https://doi.org/10.1016/j.heliyon.2025.e41667","RegionNum":3,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2025/1/15 0:00:00","PubModel":"eCollection","JCR":"Q1","JCRName":"MULTIDISCIPLINARY SCIENCES","Score":null,"Total":0}
引用次数: 0
Abstract
The b-metric space happens to be one of the of most significant and non-trivial generalizations of metric spaces. In this paper, we introduce the concepts of Kannan type and Ćirić-Reich-Rus type cyclic contractions in b-metric spaces via interpolation. Existence and uniqueness of fixed points of these two newly introduced contraction mappings have been studied and validated with suitable examples. Our paper also generalizes, extends and provides improvements to the results in the recent paper by Edraoui et al. (2023) [11].
b-度规空间恰好是度量空间最重要的非平凡推广之一。本文通过插值引入了b-度量空间中Kannan型和Ćirić-Reich-Rus型循环收缩的概念。研究了这两种新引入的收缩映射不动点的存在唯一性，并用适当的实例验证了它们的存在唯一性。我们的论文也对Edraoui et al.(2023)[11]的最新论文的结果进行了概括、扩展和改进。
期刊介绍：
Heliyon is an all-science, open access journal that is part of the Cell Press family. Any paper reporting scientifically accurate and valuable research, which adheres to accepted ethical and scientific publishing standards, will be considered for publication. Our growing team of dedicated section editors, along with our in-house team, handle your paper and manage the publication process end-to-end, giving your research the editorial support it deserves.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
