Doutorado em Matemática (IME)
URI Permanente para esta coleção
Navegar
Navegando Doutorado em Matemática (IME) por Assunto "Approximate solution"
Agora exibindo 1 - 1 de 1
Resultados por página
Opções de Ordenação
Item Proximal point methods for multiobjective optimization in riemannian manifolds(Universidade Federal de Goiás, 2019-02-26) Meireles, Lucas Vidal de; Bento, Glaydston de Carvalho; http://lattes.cnpq.br/1089906772427394; Bento, Glaydston de Carvalho; Oliveira, Paulo Roberto; Santos, Paulo Sérgio Marques dos; Cruz Neto, João Xavier da; Ferreira, Orizon PereiraIn this work, two different proximal-type methods are investigated in the Riemannian context, namely, an exact and an inexact version. Two strategies were used to analyze these methods. For the exact version, we used a direct approach by investigating the regularized problem, not considering any convexity assumption over the constraint sets, that determine the vectorial improvement steps, which replaces the classical approach via scalarization. To study the inexact version, a definition of the approximate Pareto efficient solution is introduced. For the convex case on Hadamard manifolds, full convergence of both methods to a weak Pareto optimal point is obtained.