On the Minimum Norm Solution to Weber Problem

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