Results 271 to 280 of about 1,280 (310)

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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A Characterization of Maximal Monotone Operators

Set-Valued Analysis, 2007
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About the Maximal Monotonicity of the Generalized Sum of Two Maximal Monotone Operators

Set-Valued and Variational Analysis, 2011
In this paper, the authors present some regularity conditions to ensure the maximal mo\-no\-to\-ni\-ci\-ty of the generalized sum of two strongly-representable monotone operators of closedness and interior point type. The obtained theorems extend some recent results.
László, Szilárd, Burján-Mosoni, Boglárka   +1 more
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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 Operators and Saddle Functions I

Zeitschrift für Analysis und ihre Anwendungen, 1986
We investigate the monotone operator T_K \subseteq E \times E^*, f \in T_Kx\colon = [–f, f] \in \partial K(x,x) , which is defined via the subdifferential of a concave-convex saddle function K
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Maximal Hyperclones Determined by Monotone Operations

2011 41st IEEE International Symposium on Multiple-Valued Logic, 2011
Let A be a finite set. It is well known that every bounded partial order relation determines a maximal clone on A and every non-trivial partial order relation determines a maximal partial clone on A. In this paper we describe a class of maximal hyper clones that are determined by bounded partial order relations on A.
Jelena Colic, Hajime Machida, Jovanka Pantovic   +2 more
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The $ G $-Convergence of Maximal Monotone Nemytskii Operators

Siberian Mathematical Journal, 2022
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Perturbations of regularizing maximal monotone operators

Israel Journal of Mathematics, 1982
We consideru′(t)+Au(t)∋f(t), whereA is maximal monotone in a Hilbert spaceH.
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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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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.
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