In this work we are concerned with maximality of monotone operators representable by certain convex functions in non-reflexive Banach spaces. We also prove that these maximal monotone operatorsâ€¦ (More)

In a recent paper in Journal of Convex Analysis the authors studied, in non-reflexive Banach spaces, a class of maximal monotone operators, characterized by the existence of a function inâ€¦ (More)

In a recent Math. Program. paper, Eckstein and Silva proposed a new error criterion for the approximate solutions of augmented Lagrangian subproblems. Based on a saddle-point formulation of theâ€¦ (More)

Gossez type (D) operators are defined in non-reflexive Banach spaces and share with the subdifferential a topological related property, characterized by bounded nets. In this work we present newâ€¦ (More)

We present a new sufficient condition under which a maximal monotone operator T : X â‡‰ Xâˆ— admits a unique maximal monotone extension to the bidual TÌƒ : Xâˆ—âˆ— â‡‰ Xâˆ—. For non-linear operators thisâ€¦ (More)

In a Hilbert setting, we introduce a new dynamical system and associated algorithms for solving monotone inclusions by rapid methods. Given a maximal monotone operator A, the evolution is governed byâ€¦ (More)

We are concerned with surjectivity of perturbations of maximal monotone operators in non-reflexive Banach spaces. While in a reflexive setting, a classical surjectivity result due to Rockafellarâ€¦ (More)

Maximal monotone operators on a Banach space into its dual can be represented by convex functions bounded below by the duality product. It is natural to ask under which conditions a convex functionâ€¦ (More)

This paper presents and studies the iteration-complexity of two new inexact variants of Rockafellarâ€™s proximal method of multipliers (PMM) for solving convex programming (CP) problems with a finiteâ€¦ (More)

We analyze a primal-dual pair of problems generated via a duality theory introduced by Svaiter. We propose a general algorithm and study its convergence properties. The focus is a general primal-dualâ€¦ (More)