{"title":"Fixed point theorems in r-normed and locally r-convex spaces and applications","authors":"Mohamed Ennassik, L. Maniar, M. Taoudi","doi":"10.24193/fpt-ro.2021.2.41","DOIUrl":null,"url":null,"abstract":". In this paper we prove some new fixed point theorems in r -normed and locally r -convex spaces. Our conclusions generalize many well-known results and provide a partial affirmative answer to Schauder’s conjecture. Based on the obtained results, we prove the analogue of a Von Neumann’s theorem in locally r -convex spaces. In addition, an application to game theory is presented.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.24193/fpt-ro.2021.2.41","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 7
Abstract
. In this paper we prove some new fixed point theorems in r -normed and locally r -convex spaces. Our conclusions generalize many well-known results and provide a partial affirmative answer to Schauder’s conjecture. Based on the obtained results, we prove the analogue of a Von Neumann’s theorem in locally r -convex spaces. In addition, an application to game theory is presented.