On the Minimum Norm Solution to Weber Problem

  • IA Osinuga
  • OM Bamigbola
Keywords: Weber problem, Lipschitzian function, Global Optimization, Coercivity

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
Published
2008-11-19
Section
Articles

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print ISSN: 2508-1128