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

Producción científica: Contribución a una revista › Artículo de revista › revisión exhaustiva

4 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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abstract = "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.",

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T1 - Representable Monotone Operators and Limits of Sequences of Maximal Monotone Operators

AU - García, Yboon

AU - Lassonde, Marc

PY - 2012/3/1

Y1 - 2012/3/1

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

UR - https://www.scopus.com/pages/publications/84856503717

UR - https://www.scopus.com/pages/publications/84856503717#tab=citedBy

U2 - 10.1007/s11228-011-0178-8

DO - 10.1007/s11228-011-0178-8

M3 - Article in a journal

SN - 0927-6947

VL - 20

SP - 61

EP - 73

JO - Set-Valued and Variational Analysis

JF - Set-Valued and Variational Analysis

IS - 1

ER -

Representable Monotone Operators and Limits of Sequences of Maximal Monotone Operators

Resumen

Palabras clave

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