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Prox-regularity approach to generalized equations and image projection
(EDP Sciences, 2018-04)
In this paper, we first investigate the prox-regularity behaviour of solution mappings to generalized equations. This study is realized through a nonconvex uniform Robinson Ursescu type theorem. Then, we derive new significant ...
Local convergence of exact and inexact newton’s methods for subanalytic variational inclusionsLocal convergence of exact and inexact Newton's methods for subanalytic
(Universidad de Costa Rica, Centro de Investigación en Matemática Pura y Aplicada (CIMPA), 2015)
Inclusion as practice-theoryL’inclusion comme théorie pratiqueL’inclusion comme théorie pratique
(Universidade Federal de Santa Maria, 2020)
Invariant sets and Lyapunov pairs for differential inclusions with maximal monotone operators
(Academic Press Inc., 2018)
We give different conditions for the invariance of closed sets with respect to differential inclusions governed by a maximal monotone operator defined on Hilbert spaces, which is subject to a Lipschitz continuous perturbation ...
Non-convex sweeping processes involving maximal monotone operators
(Taylor & Francis, 2017)
By using a regularization method, we study in this paper the global existence and uniqueness property of a new variant of non-convex sweeping processes involving maximal monotone operators. The system can be considered as ...
Discontinuous sweeping process with prox regular sets
(EDP Sciences, 2017)
In this paper, we study the well-posedness (in the sense of existence and uniqueness of a solution) of a discontinuous sweeping process involving prox-regular sets in Hilbert spaces. The variation of the moving set is ...
Unbounded Second-Order State-Dependent Moreau's Sweeping Processes in Hilbert Spaces
(Springer, 2016)
In this paper, an existence and uniqueness result of a class of second-order sweeping processes, with velocity in the moving set under perturbation in infinite-dimensional Hilbert spaces, is studied by using an implicit ...
Local convergence of exact and inexact newton’s methods for subanalytic variational inclusionsConvergencia local de los métodos de newton exacto e inexacto para inclusiones variacionales subanalíticas
(2015-01-01)
This paper deals with the study of an iterative method for solving a variational inclusion of the form 0 ∈ f (x)+F (x) where f is a locally Lipschitz subanalytic function and F is a set-valued map from Rn to the closed ...
Local convergence of exact and inexact newton’s methods for subanalytic variational inclusionsConvergencia local de los métodos de newton exacto e inexacto para inclusiones variacionales subanalíticas
(2015-01-01)
This paper deals with the study of an iterative method for solving a variational inclusion of the form 0 ∈ f (x)+F (x) where f is a locally Lipschitz subanalytic function and F is a set-valued map from Rn to the closed ...