{"title":"偏序度量空间中p-收缩映射的不动点定理及其在常微分方程中的应用","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":"{\"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}","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}
A fixed point theorem for p-contraction mappings in partially ordered metric spaces and application to ordinary differential equations
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.