{"title":"On the Minimum Norm Solution to Weber Problem","authors":"I. Osinuga, O. Bamigbola","doi":"10.4314/AJESMS.V5I1.38611","DOIUrl":null,"url":null,"abstract":"This paper investigates an unconstrained form of classical Weber problem. The main idea is to reformulate Weber problem as an unconstrained minimum norm problem. A result based on the representation of the objective function as a Lipschitzian function, which is necessarily a convex function, is proposed. The existence of global solution to such\nproblem is proven using coercivity assumptions. African Journal of Educational Studies in Mathematics and Sciences Vol. 5 2007: pp. 29-34","PeriodicalId":210929,"journal":{"name":"African Journal of Educational Studies in Mathematics and Sciences","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2008-11-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"African Journal of Educational Studies in Mathematics and Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4314/AJESMS.V5I1.38611","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 8
Abstract
This paper investigates an unconstrained form of classical Weber problem. The main idea is to reformulate Weber problem as an unconstrained minimum norm problem. A result based on the representation of the objective function as a Lipschitzian function, which is necessarily a convex function, is proposed. The existence of global solution to such
problem is proven using coercivity assumptions. African Journal of Educational Studies in Mathematics and Sciences Vol. 5 2007: pp. 29-34
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