Results 271 to 280 of about 1,185 (293)

Maximal monotone operators and maximal monotone functions for equilibrium problems

2008
This paper investigates relationships between the problem of finding a zero of a maximal monotone operator and the equilibrium problem. Given a bivariate function \(f\) associated with an equilibrium problem, and using results from [\textit{E. Blum} and \textit{W. Oettli}, Math. Stud. 63, No.
Koji Aoyama, Yasunori Kimura, Wataru Takahashi   +2 more
openaire   +1 more source

Equilibrium of Maximal Monotone Operator in a Given Set

Discussiones Mathematicae. Differential Inclusions, Control and Optimization, 2000
Let \(C\) be a nonempty weakly compact convex subset of a real Banach space \(E\) and \(f: E\to\overline{\mathbb{R}}\) be a lower semi-continuous convex function. The question about the equality \[ \inf_E f= \inf_C f \] can be characterized by the following two different conditions: \[ \forall x\not\in C\;\exists c\in C:f'(x; c-x)\leq 0\qquad (\text ...
openaire   +1 more source

Coderivatives of Maximal Monotone Operators

2018
In this chapter we employ the tools of variational analysis and generalized differentiation developed above to study global and local monotonicity of set-valued operators.
openaire   +1 more source

On the Range of Maximal Monotone Operators in Nonreflexive Spaces

Mathematische Nachrichten, 1985
Results concerning existence of solutions to the equation \(\theta\in Ax\), where \(A: E\to 2^ F\) is a maximal monotone (or a some what more general) mapping are considered. Here E and F constitute a dual system of real linear spaces (i.e., a mondegenerate bilinear form \(\) exists on \(E\times F)\).
openaire   +2 more sources

On the Maximality of the Sum of Monotone Operators

Mathematische Nachrichten, 1981
openaire   +2 more sources

Maximal Monotone Operators

2007
Regina S. Burachik, Alfredo N. Iusem
openaire   +1 more source

Maximal Monotone Operators

2019
Behzad Djafari-Rouhani, Hadi Khatibzadeh
openaire   +1 more source

Monotone perturbations of maximal monotone operators

Nonlinear Analysis: Theory, Methods & Applications, 1979
openaire   +2 more sources

Evolution Inclusions Governed by Time-Dependent Maximal Monotone Operators with a Full Domain

Set-Valued and Variational Analysis, 2020
Emilio Vilches, Bao Tran Nguyen, Vilches Emilio   +2 more
exaly  

Nonlinear maximal monotone operators in Banach space

Mathematische Annalen, 1968
Felix E Browder, Browder Felix E
exaly