广义α，ψ的不动点结果

Q3 Mathematics

Abstract and Applied Analysis Pub Date : 2022-04-05 DOI:10.1155/2022/9370083

Mustefa Abduletif Mamud, Kidane Koyas Tola

{"title":"广义α，ψ的不动点结果","authors":"Mustefa Abduletif Mamud, Kidane Koyas Tola","doi":"10.1155/2022/9370083","DOIUrl":null,"url":null,"abstract":"In this paper, we introduce generalized \n \n \n \n α\n ,\n ψ\n \n \n \n -contraction mappings in the setting of rectangular \n \n b\n \n -metric spaces and established existence and uniqueness of fixed points for the mappings introduced. Our results extend and generalize related fixed point results in the existing literature. We derive some consequences and corollaries from our obtained results. Also, we provide examples in support of our main findings. Furthermore, we determined a solution to an integral equation by applying our obtained results.","PeriodicalId":7061,"journal":{"name":"Abstract and Applied Analysis","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Fixed Point Results for Generalized <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\" id=\\\"M1\\\">\\n <mfenced open=\\\"(\\\" close=\\\")\\\">\\n <mrow>\\n <mi>α</mi>\\n <mo>,</mo>\\n <mi>ψ</mi>\\n \",\"authors\":\"Mustefa Abduletif Mamud, Kidane Koyas Tola\",\"doi\":\"10.1155/2022/9370083\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we introduce generalized \\n \\n \\n \\n α\\n ,\\n ψ\\n \\n \\n \\n -contraction mappings in the setting of rectangular \\n \\n b\\n \\n -metric spaces and established existence and uniqueness of fixed points for the mappings introduced. Our results extend and generalize related fixed point results in the existing literature. We derive some consequences and corollaries from our obtained results. Also, we provide examples in support of our main findings. Furthermore, we determined a solution to an integral equation by applying our obtained results.\",\"PeriodicalId\":7061,\"journal\":{\"name\":\"Abstract and Applied Analysis\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-04-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Abstract and Applied Analysis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1155/2022/9370083\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Abstract and Applied Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1155/2022/9370083","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}

引用次数: 0

摘要

本文在矩形b-度量空间的集合中引入了广义的α，ψ-收缩映射，并建立了该映射不动点的存在唯一性。我们的结果推广和推广了现有文献中的相关不动点结果。我们从所获得的结果中得到了一些结果和推论。此外，我们还提供了一些例子来支持我们的主要发现。此外，我们通过应用我们获得的结果，确定了一个积分方程的解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Fixed Point Results for Generalized

(α, ψ)

In this paper, we introduce generalized α , ψ -contraction mappings in the setting of rectangular b -metric spaces and established existence and uniqueness of fixed points for the mappings introduced. Our results extend and generalize related fixed point results in the existing literature. We derive some consequences and corollaries from our obtained results. Also, we provide examples in support of our main findings. Furthermore, we determined a solution to an integral equation by applying our obtained results.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Abstract and Applied Analysis 数学-数学

CiteScore

2.30

自引率

0.00%

发文量

审稿时长

3.5 months

期刊介绍： Abstract and Applied Analysis is a mathematical journal devoted exclusively to the publication of high-quality research papers in the fields of abstract and applied analysis. Emphasis is placed on important developments in classical analysis, linear and nonlinear functional analysis, ordinary and partial differential equations, optimization theory, and control theory. Abstract and Applied Analysis supports the publication of original material involving the complete solution of significant problems in the above disciplines. Abstract and Applied Analysis also encourages the publication of timely and thorough survey articles on current trends in the theory and applications of analysis.