韦伯问题的最小范数解

African Journal of Educational Studies in Mathematics and Sciences Pub Date : 2008-11-19 DOI:10.4314/AJESMS.V5I1.38611

I. Osinuga, O. Bamigbola

{"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

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

On the Minimum Norm Solution to Weber Problem

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

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

African Journal of Educational Studies in Mathematics and Sciences

自引率

0.00%

发文量