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Minimal cut sets in metabolic networks: from conceptual foundations to applications in metabolic engineering and biomedicine. [PDF]

Brief Bioinform
Klamt S, Zanghellini J, von Kamp A.
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A Characterization of Maximal Monotone Operators

Set-Valued and Variational Analysis, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Andreas Lohne, Lohne Andreas
exaly   +3 more sources

On the maximality of the sum of two maximal monotone operators

Nonlinear Analysis: Theory, Methods & Applications, 1981
Abstract : A wide variety of problems involving nonlinear partial differential equations, subject to boundary conditions, may be shown to have solutions by establishing that the associated differential operators satisfy a certain technical condition. This condition, called maximal monotonicity, allows the use of a well developed abstract theory which ...
Hedy Attouch
exaly   +3 more sources

Maximal Monotonicity of a Nemytskii Operator

Functional Analysis and Its Applications, 2021
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Regular Maximal Monotone Operators

Set-Valued Analysis, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Verona, Andrei, Verona, Maria E.
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Distances between Maximal Monotone Operators

Siberian Mathematical Journal, 2023
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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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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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Maximal Monotonicity for the Precomposition with a Linear Operator

SIAM Journal on Optimization, 2007
We give the weakest constraint qualification known to us that ensures the maximal monotonicity of the operator $A^* \circ T \circ A$ when $A$ is a linear continuous mapping between two reflexive Banach spaces and $T$ is a maximal monotone operator. As a special case we get the weakest constraint qualification that guarantees the maximal monotonicity of
Radu Ioan Bot, Sorin-Mihai Grad, Gert Wanka   +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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