{"title":"韦伯问题的最小范数解","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":"{\"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}","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
摘要
本文研究了经典韦伯问题的一种无约束形式。其主要思想是将韦伯问题重新表述为无约束最小范数问题。将目标函数表示为Lipschitzian函数，得到了一个必然是凸函数的结果。利用矫顽力假设证明了该问题整体解的存在性。非洲数学与科学教育研究杂志Vol. 5 2007: pp. 29-34
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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