Results 221 to 230 of about 524,848 (251)

Monotone Semigroups of Operators on Cones*

Canadian Mathematical Bulletin, 1969
In this paper we consider a special class of linear operators defined on a cone K in a Banach space X. This class of operators is the natural generalization of a class of operators which has applications in the theory of interpolation spaces. In particular, using the criteria developed in Theorem 1, it is possible to characterize those sequence spaces ...
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Variational Sum of Monotone Operators

Journal of Convex Analysis, 1994
The sum of (nonlinear) maximal monotone operators is reconsidered from the Yosida approximation and graph-convergence point of view. This leads to a new concept, called variational sum, which coincides with the classical (pointwise) sum when the classical sum happens to be maximal monotone. In the case of subdifferentials of convex lower semicontinuous
Attouch, H., Baillon, J.-B., Théra, M.
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Maximal Monotonicity of a Nemytskii Operator

Functional Analysis and Its Applications, 2021
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A Monotone Hull Operation for Maps

Journal of Convex Analysis, 2017
The convex hull of a function φ is its largest l.s.c. convex minorant. In this paper, we propose a similar construction for monotone vector fields. The definition is based on the theory of autoconjugate functions (which are also called self-dual Lagrangians) and their relation to monotone ...
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Regular Maximal Monotone Operators

Set-Valued Analysis, 1998
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Verona, Andrei, Verona, Maria E.
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A Degree for Operators of Monotone Type

Mathematische Nachrichten, 1983
The degreee of operators between such Banach spaces that form a dual system in the sense of Schaefer is defined, under a weak continuity hypothesis. The usual properties of the degree are derived for operators of monotone type and it is computed for coercive and monotone mappings.
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A Characterization of Maximal Monotone Operators

Set-Valued Analysis, 2007
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On Monotone Decomposable Operators

Journal of the ACM, 1969
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Monotone Operators

2021
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Monotone Operators

2011
Heinz H. Bauschke, Patrick L. Combettes
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