20 citations · 37 across the 19 of their papers we have counts for
16 papers · 1 filter
General monotonicity
M. D. Voisei
This article employs techniques from convex analysis to present characterizations of (maximal) monotonicity, similar to the well-established characterizations of (maximal) mono…
Special properties of Gossez's example
M. D. Voisei
In this note new properties for the Gossez example are presented in regard to its representability, closedness, and maximal monotonicity with respect to the two dual systems it nat…
Monotone extensions into compact target sets in dual systems
M. D. Voisei
We study monotone extension problems in the general framework of dual systems, without assuming separation. The paper develops a compact target-set formulation that includes multiv…
The sum theorem for maximal monotone operators in reflexive Banach spaces revisited
M. D. Voisei
Our goal is to present a new shorter proof for the maximal monotonicity of the Minkowski sum of two maximal monotone multi-valued operators defined in a reflexive Banach space unde…
The maximal monotonicity of the subdifferential in locally convex spaces via upper envelopes
M. D. Voisei
Abstract Equivalent conditions that make the convex subdifferential maximal monotone are investigated in the general settings of locally convex spaces.
Maximal monotone normal cones in locally convex spaces
M. D. Voisei
Equivalent conditions that make the normal cone maximal monotone are investigated in the general settings of locally convex spaces. Some consequences such as Bishop Phelps and sum…
A priori estimates for the Fitzpatrick function
M. D. Voisei
New perspectives, proofs, and some extensions of known results are presented concerning the behavior of the Fitzpatrick function of a monotone type operator in the general context…
Location, identification, and representability of monotone operators in locally convex spaces
M. D. Voisei
In this paper we study, in the relaxed context of locally convex spaces, intrinsic properties of monotone operators needed for the sum conjecture for maximal monotone operators to…
The local equicontinuity of a maximal monotone operator
M. D. Voisei
The local equicontinuity of an operator with proper Fitzpatrick function and defined in a barreled locally convex space has been shown to h…
The minimal context for local boundedness in topological vector spaces
M. D. Voisei
The local boundedness of classes of operators is analyzed on different subsets directly related to their Fitzpatrick functions and characterizations of the topological vector space…
Maximal monotone operators with non-empty domain interior; characterizations and continuity properties
M. D. Voisei
In the context of general Banach spaces characterizations for the maximal monotonicity of operators with non-empty domain interior as well as stronger continuity properties for suc…
A Sum Theorem for (FPV) Operators and Normal Cones
M. D. Voisei
On [3, p. 199] one says "We mention parenthetically that the proof of [99, Lemma 41.3] is incorrect, and we do not know whether it, [99, Theorem 41.5] and [99, Theorem 41.6] are tr…
Linear Monotone Subspaces of Locally Convex Spaces
M. D. Voisei, C. Zalinescu
The main focus of this paper is to study multi-valued linear monotone operators in the contexts of locally convex spaces via the use of their Fitzpatrick and Penot functions. Notio…
Strongly-Representable Operators
M. D. Voisei, C. Zalinescu
Recently in [1] a new class of maximal monotone operators has been introduced. In this note we study domain range properties as well as connections with other classes and calculus…
The Sum and Chain Rules for Maximal Monotone Operators
M. D. Voisei
This paper is primarily concerned with the problem of maximality for the sum and composition in non-reflexive Banach space settings under qualifications constraints…
The Sum Theorem for Linear Maximal Monotone Operators
M. D. Voisei
The goal of this article is to give a positive answer to Rockafellar's maximality of the sum conjecture in the linear multi-valued operator case.