ε-subdifferentials in terms of subdifferentials

Juan Enrique Martinez-Legaz; Michel Théra

doi:https://doi.org/10.1007/BF00436109

ε-subdifferentials in terms of subdifferentials

Juan Enrique Martinez-Legaz, Michel Théra

Department of Economics and Economic History

Research output: Contribution to journal › Article › Research › peer-review

27 Citations (Scopus)

Abstract

In this note, we give a formula which expresses the ε-subdifferential operator of a lower semicontinuous convex proper function on a given Banach space in terms of its subdifferential. © 1996 Kluwer Academic Publishers.

Original language	English
Pages (from-to)	327-332
Journal	Set-Valued Analysis
Volume	4
DOIs	https://doi.org/10.1007/BF00436109
Publication status	Published - 1 Jan 1996

Keywords

Cyclically monotone operator
Maximal monotone operator
Subdifferential operator
ε-subdifferential operator

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https://doi.org/10.1007/BF00436109

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title = "ε-subdifferentials in terms of subdifferentials",

abstract = "In this note, we give a formula which expresses the ε-subdifferential operator of a lower semicontinuous convex proper function on a given Banach space in terms of its subdifferential. {\textcopyright} 1996 Kluwer Academic Publishers.",

keywords = "Cyclically monotone operator, Maximal monotone operator, Subdifferential operator, ε-subdifferential operator",

author = "Martinez-Legaz, {Juan Enrique} and Michel Th{\'e}ra",

year = "1996",

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day = "1",

doi = "https://doi.org/10.1007/BF00436109",

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T1 - ε-subdifferentials in terms of subdifferentials

AU - Martinez-Legaz, Juan Enrique

AU - Théra, Michel

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Y1 - 1996/1/1

N2 - In this note, we give a formula which expresses the ε-subdifferential operator of a lower semicontinuous convex proper function on a given Banach space in terms of its subdifferential. © 1996 Kluwer Academic Publishers.

AB - In this note, we give a formula which expresses the ε-subdifferential operator of a lower semicontinuous convex proper function on a given Banach space in terms of its subdifferential. © 1996 Kluwer Academic Publishers.

KW - Cyclically monotone operator

KW - Maximal monotone operator

KW - Subdifferential operator

KW - ε-subdifferential operator

U2 - https://doi.org/10.1007/BF00436109

DO - https://doi.org/10.1007/BF00436109

M3 - Article

VL - 4

SP - 327

EP - 332

ER -

ε-subdifferentials in terms of subdifferentials

Abstract

Keywords

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