A Proximal Method to Solve Quasiconvex Non-differentiable Location Problems

Abstract

The location problem is of great interest in order to establish different location demands in the state or private sector. The model of this problem is usually reduced to a mathematical optimization problem. In this paper we present a proximal method to solve location problems where the objective function is quasi-convex and non-differentiable. We prove that the iterations given by the method are well defined and under some assumptions on the objective function we prove the convergence of the method. © 2022 Elsevier B.V., All rights reserved.