受控度量空间中的好算定点结果和数据依赖问题

IF 1.5 3区数学 Q1 MATHEMATICS

Journal of Inequalities and Applications Pub Date : 2024-03-07 DOI:10.1186/s13660-023-03062-5

D. Sagheer, S. Batul, A. Daim, A. Saghir, H. Aydi, S. Mansour, W. Kallel

{"title":"受控度量空间中的好算定点结果和数据依赖问题","authors":"D. Sagheer, S. Batul, A. Daim, A. Saghir, H. Aydi, S. Mansour, W. Kallel","doi":"10.1186/s13660-023-03062-5","DOIUrl":null,"url":null,"abstract":"The present research is aimed to analyze the existence of strict fixed points (SFPs) and fixed points of multivalued generalized contractions on the platform of controlled metric spaces (CMSs). Wardowski-type multivalued nonlinear operators have been introduced employing auxiliary functions, modifying a new contractive requirement form. Well-posedness of obtained fixed point results is also established. Moreover, data dependence result for fixed points is provided. Some supporting examples are also available for better perception. Many existing results in the literature are particular cases of the results established.","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":"52 1","pages":""},"PeriodicalIF":1.5000,"publicationDate":"2024-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Well-posed fixed point results and data dependence problems in controlled metric spaces\",\"authors\":\"D. Sagheer, S. Batul, A. Daim, A. Saghir, H. Aydi, S. Mansour, W. Kallel\",\"doi\":\"10.1186/s13660-023-03062-5\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The present research is aimed to analyze the existence of strict fixed points (SFPs) and fixed points of multivalued generalized contractions on the platform of controlled metric spaces (CMSs). Wardowski-type multivalued nonlinear operators have been introduced employing auxiliary functions, modifying a new contractive requirement form. Well-posedness of obtained fixed point results is also established. Moreover, data dependence result for fixed points is provided. Some supporting examples are also available for better perception. Many existing results in the literature are particular cases of the results established.\",\"PeriodicalId\":16088,\"journal\":{\"name\":\"Journal of Inequalities and Applications\",\"volume\":\"52 1\",\"pages\":\"\"},\"PeriodicalIF\":1.5000,\"publicationDate\":\"2024-03-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Inequalities and Applications\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1186/s13660-023-03062-5\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Inequalities and Applications","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1186/s13660-023-03062-5","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

摘要

本研究旨在分析受控度量空间（CMS）平台上多值广义收缩的严格定点（SFP）和定点的存在性。研究采用辅助函数引入了 Wardowski 型多值非线性算子，修改了新的收缩要求形式。获得的定点结果也建立了良好拟合。此外，还提供了定点的数据依赖性结果。为了更好地理解，还提供了一些辅助示例。文献中的许多现有结果都是所建立结果的特殊案例。

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

Well-posed fixed point results and data dependence problems in controlled metric spaces

The present research is aimed to analyze the existence of strict fixed points (SFPs) and fixed points of multivalued generalized contractions on the platform of controlled metric spaces (CMSs). Wardowski-type multivalued nonlinear operators have been introduced employing auxiliary functions, modifying a new contractive requirement form. Well-posedness of obtained fixed point results is also established. Moreover, data dependence result for fixed points is provided. Some supporting examples are also available for better perception. Many existing results in the literature are particular cases of the results established.

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

Journal of Inequalities and Applications 数学-数学

自引率

6.20%

发文量

136

期刊介绍： The aim of this journal is to provide a multi-disciplinary forum of discussion in mathematics and its applications in which the essentiality of inequalities is highlighted. This Journal accepts high quality articles containing original research results and survey articles of exceptional merit. Subject matters should be strongly related to inequalities, such as, but not restricted to, the following: inequalities in analysis, inequalities in approximation theory, inequalities in combinatorics, inequalities in economics, inequalities in geometry, inequalities in mechanics, inequalities in optimization, inequalities in stochastic analysis and applications.