Fixed point theorems in extended cone b-metric-like spaces over Banach algebras

IF 1.2 3区 数学 Q1 MATHEMATICS Journal of Mathematical Analysis and Applications Pub Date : 2025-02-27 DOI:10.1016/j.jmaa.2025.129427
Shi Xinjie , Wang Wenshuai , Long Pinhong , Huang Huaping , Jiang Zixian
{"title":"Fixed point theorems in extended cone b-metric-like spaces over Banach algebras","authors":"Shi Xinjie ,&nbsp;Wang Wenshuai ,&nbsp;Long Pinhong ,&nbsp;Huang Huaping ,&nbsp;Jiang Zixian","doi":"10.1016/j.jmaa.2025.129427","DOIUrl":null,"url":null,"abstract":"<div><div>In this study, the fixed point theorems for Reich type contraction and weak <em>ψ</em>-contraction in extended cone <em>b</em>-metric-like space over Banach algebra are established and some examples are provided to highlight the superiority of these results. Furthermore, the Kannan type contractive operator <span><math><mi>F</mi></math></span> is shown to be graphic contraction, quasi-contraction and the <em>c</em>-Picard operator, respectively. In the end, an application about the existence of solutions for the Urysohn I-type integral equation is demonstrated to support some consequences.</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"548 2","pages":"Article 129427"},"PeriodicalIF":1.2000,"publicationDate":"2025-02-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Analysis and Applications","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022247X25002082","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0

Abstract

In this study, the fixed point theorems for Reich type contraction and weak ψ-contraction in extended cone b-metric-like space over Banach algebra are established and some examples are provided to highlight the superiority of these results. Furthermore, the Kannan type contractive operator F is shown to be graphic contraction, quasi-contraction and the c-Picard operator, respectively. In the end, an application about the existence of solutions for the Urysohn I-type integral equation is demonstrated to support some consequences.
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
求助全文
约1分钟内获得全文 去求助
来源期刊
CiteScore
2.50
自引率
7.70%
发文量
790
审稿时长
6 months
期刊介绍: The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. Papers are sought which employ one or more of the following areas of classical analysis: • Analytic number theory • Functional analysis and operator theory • Real and harmonic analysis • Complex analysis • Numerical analysis • Applied mathematics • Partial differential equations • Dynamical systems • Control and Optimization • Probability • Mathematical biology • Combinatorics • Mathematical physics.
期刊最新文献
Iterative algorithms and fixed point theorems for mean nonexpansive set-valued mappings in graphical convex metric spaces Global existence for a three-species predator-prey model with slow p-Laplacian diffusion Fixed point theorems in extended cone b-metric-like spaces over Banach algebras Bifurcation from interval and positive solutions of Minkowski-curvature on unbounded domain Rigidity of boundary Schwarz lemma between nonequidimensional unit balls
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1