24 citations · 125 across the 17 of their papers we have counts for
6 papers · 1 filter
Maximal monotonicity, conjugation and the duality product in non-reflexive Banach spaces
M. Marques Alves, B. F. Svaiter
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…
On the surjectivity properties of perturbations of maximal monotone operators in non-reflexive Banach spaces
M. Marques Alves, B. F. Svaiter
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…
Maximal monotone operators with a unique extension to the bidual
M. Marques Alves, B. F. Svaiter
We present a new sufficient condition under which a maximal monotone operator $T:X\tos X^*$ admits a unique maximal monotone extension to the bidual $\widetilde T:X^{**} \rightrigh…
A new old class of maximal monotone operators
M. Marques Alves, B. F. Svaiter
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 func…
Fixed Points of Generalized Conjugations
M. Marques Alves, B. F. Svaiter
Conjugation, or Legendre transformation, is a basic tool in convex analysis, rational mechanics, economics and optimization. It maps a function on a linear topological space into a…
Bronsted-Rockafellar property and maximality of monotone operators representable by convex functions in non-reflexive Banach spaces
M. Marques Alves, B. F. Svaiter
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 monot…