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Evolution problems involving state-dependent maximal monotone operators
Applicable Analysis, 2020The main objective of the present paper is to prove the existence of absolutely continuous solutions for an evolution problem in a Hilbert space H, of the form where, for each , the maximal monotone operator is of absolutely continuous variation in time ...
F. Selamnia +2 more
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An inexact proximal point algorithm for maximal monotone vector fields on Hadamard manifolds
Operations Research Letters, 2013Guo-ji Tang, N. Huang
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Regular Maximal Monotone Operators
Set-Valued Analysis, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Verona, Andrei, Verona, Maria E.
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Monotone and maximal monotone affine subspaces
Operations Research Letters, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Crouzeix, Jean-Pierre +1 more
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Distances between Maximal Monotone Operators
Siberian Mathematical Journal, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Maximizing Non-Monotone Submodular Functions
48th Annual IEEE Symposium on Foundations of Computer Science (FOCS'07), 2007Submodular maximization generalizes many important problems including Max Cut in directed and undirected graphs and hypergraphs, certain constraint satisfaction problems, and maximum facility location problems. Unlike the problem of minimizing submodular functions, the problem of maximizing submodular functions is NP-hard.
Uriel Feige +2 more
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About the Maximal Monotonicity of the Generalized Sum of Two Maximal Monotone Operators
Set-Valued and Variational Analysis, 2011In 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 +1 more
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Maximal Monotonicity of a Nemytskii Operator
Functional Analysis and Its Applications, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Maximal monotonicity of bifunctions
Optimization, 2010For each monotone bifunction F defined on a subset C of a Banach space, an associated monotone operator A F can be defined. The bifunction F is called maximal monotone, if A F is maximal monotone. We find conditions for a bifunction to be maximal monotone and show the relation to the existence of solutions of an equilibrium problem.
N. Hadjisavvas, H. Khatibzadeh
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Five Kinds of Maximal Monotonicity
Set-Valued Analysis, 2001The author discusses the relationship between various notions of maximal monotonicity for multi-functions, and proves, in particular, that every maximal monotone multi-function of type (D) is locally maximal monotone, and every maximal monotone multi-function of type (ED) is strongly maximal monotone and maximal monotone locally.
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