Results 261 to 270 of about 826,027 (309)

Cyclical monotonicity of maximal monotone step operators

Boletim da Sociedade Brasileira de Matemática, 1982
Let X and Y be two locally convex Hausdorff topological vector spaces paired by a bilinear form \(\). A multimapping \(T: X\to 2^ y\) is said to be a locally step operator if each \(x\in X\) has a neighborhood U such that \(\{Ty\}_{y\in U}\) is a finite family of sets, that is, if locally T takes a finite number of set values.
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Maximal Monotone Mappings

1990
The logical structure of this chapter is represented in Figures 32.1 and 32.2. The key to our approach is the main theorem on pseudomonotone perturbations of maximal monotone mappings due to Browder (1968) (Theorem 32. A in Section 32.4). This theorem will be proved via the Galerkin method.
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Monotone and ILIP Maximizers

2016
We present conditions under which the pointwise smallest maximizer f n (s) depends monotonely on the current state s, is increasing and Lipschitz in s, is monotone in n and is monotone both in n and s. We also introduce several algorithms for computing the smallest maximizer.
Karl Hinderer, Ulrich Rieder, Michael Stieglitz   +2 more
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A Primal-Dual Splitting Algorithm for Finding Zeros of Sums of Maximal Monotone Operators

SIAM Journal on Optimization, 2012
We consider the primal problem of finding the zeros of the sum of a maximal monotone operator and the composition of another maximal monotone operator with a linear continuous operator.
R. Boț, E. R. Csetnek, André Heinrich
semanticscholar   +1 more source

A Characterization of Maximal Monotone Operators

Set-Valued Analysis, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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
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Characterizations of maximal monotone operators

Nonlinear Analysis: Theory, Methods & Applications, 1992
Die Verfasser betrachten monotone Operatoren \(T: A\to 2^{X^*}\) von einer Teilmenge \(A\subseteq X\) eines Banach-Raumes \(X\) in die Menge aller Teilmengen seines Dualraumes \(X^*\). Ist \(A\) offen, dann ist bekannterweise die maximale Monotonie von \(T\) zu jeder der folgenden Eigenschaften (1), (2) äquivalent: (1) \(T\) ist konvex- und \(w ...
Verona, Maria Elena, Verona, Andrei
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On a Time and State Dependent Maximal Monotone Operator Coupled with a Sweeping Process with Perturbations

Set-Valued and Variational Analysis, 2020
M. Benguessoum, D. Azzam-Laouir, C. Castaing   +2 more
semanticscholar   +1 more source

BV Continuous Solutions of an Evolution Inclusion with Maximal Monotone Operator and Nonconvex-Valued Perturbation. Existence Theorem

, 2020
A. Tolstonogov
semanticscholar   +1 more source

On the Douglas—Rachford splitting method and the proximal point algorithm for maximal monotone operators

Mathematical programming, 1992
Jonathan Eckstein, D. Bertsekas
semanticscholar   +1 more source