Representable Monotone Operators and Limits of Sequences of Maximal Monotone Operators

Yboon García; Marc Lassonde

doi:10.1007/s11228-011-0178-8

Representable Monotone Operators and Limits of Sequences of Maximal Monotone Operators

Yboon García, Marc Lassonde

Resultado de la investigación: Contribución a una revista › Artículo de revista › revisión exhaustiva

3 Citas (Scopus)

Resumen

We show that the lower limit of a sequence of maximal monotone operators on a reflexive Banach space is a representable monotone operator. As a consequence, we obtain that the variational sum of maximal monotone operators and the variational composition of a maximal monotone operator with a linear continuous operator are both representable monotone operators.

Idioma original	Inglés
Páginas (desde-hasta)	61-73
Número de páginas	13
Publicación	Set-Valued and Variational Analysis
Volumen	20
N.º	1
DOI	https://doi.org/10.1007/s11228-011-0178-8
Estado	Publicada - 1 mar. 2012
Publicado de forma externa	Sí

Palabras clave

Fitzpatrick function
Monotone operator
Sequence of operators
Variational sum

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10.1007/s11228-011-0178-8

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author = "Yboon Garc{\'i}a and Marc Lassonde",

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AU - Lassonde, Marc

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N2 - We show that the lower limit of a sequence of maximal monotone operators on a reflexive Banach space is a representable monotone operator. As a consequence, we obtain that the variational sum of maximal monotone operators and the variational composition of a maximal monotone operator with a linear continuous operator are both representable monotone operators.

AB - We show that the lower limit of a sequence of maximal monotone operators on a reflexive Banach space is a representable monotone operator. As a consequence, we obtain that the variational sum of maximal monotone operators and the variational composition of a maximal monotone operator with a linear continuous operator are both representable monotone operators.

KW - Fitzpatrick function

KW - Monotone operator

KW - Sequence of operators

KW - Variational sum

KW - Fitzpatrick function

KW - Monotone operator

KW - Sequence of operators

KW - Variational sum

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M3 - Article in a journal

SN - 1877-0533

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JO - Set-Valued Analysis

JF - Set-Valued Analysis

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Representable Monotone Operators and Limits of Sequences of Maximal Monotone Operators

Resumen

Palabras clave

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