2017-02-222017-02-03SOUSA JÚNIOR, V. L. Sobre a convergência de métodos de descida em otimização não-suave: aplicações à ciência comportamental. 2017.62 f. Tese (Doutorado em Matemática) - Universidade Federal de Goiás, Goiânia, 2017.http://repositorio.bc.ufg.br/tede/handle/tede/6864In this work, we investigate four different types of descent methods: a dual descent method in the scalar context and a multiobjective proximal point methods (one exact and two inexact versions). The first one is restricted to functions that satisfy the Kurdyka-Lojasiewicz property, where it is used a quasi-distance as a regularization function. In the next three methods, the objective is to study the convergence of a multiobjective proximal methods (exact an inexact) for a particular class of multiobjective functions that are not necessarily differentiable. For the inexact methods, we choose a proximal distance as the regularization term. Such a well-known distance allows us to analyze the convergence of the method under various settings. Applications in behavioral sciences are analyzed in the sense of the variational rationality approach.application/pdfAcesso AbertoMétodos de descidaPropriedade Kurdyka-LojasiewiczOtimização multiobjetivoCiência comportamentalRacionalidade variacionalMétodo do ponto proximalDescent methodsKurdyka-Lojasiewicz propertyMultiobjective optimizationBehavioral sciencesVariational rationalityProximal point methodCIENCIAS EXATAS E DA TERRA::MATEMATICATese