{"title":"A fixed point theorem for p-contraction mappings in partially ordered metric spaces and application to ordinary differential equations","authors":"Ahmed Chaouki Aouine","doi":"10.56415/basm.y2022.i3.p15","DOIUrl":null,"url":null,"abstract":"In this paper, we prove a fixed point theorem for \\textit{p}-contraction mappings in partially ordered metric spaces. As an application, we investigate the possibility of optimally controlling the solution of the ordinary differential equations.\n","PeriodicalId":102242,"journal":{"name":"Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica","volume":"139 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.56415/basm.y2022.i3.p15","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we prove a fixed point theorem for \textit{p}-contraction mappings in partially ordered metric spaces. As an application, we investigate the possibility of optimally controlling the solution of the ordinary differential equations.
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