A closedness criterion for the difference of two closed convex sets in general banach spaces

Anne Beaulieu; Feng Zong

doi:10.1142/S0252959999000382

A closedness criterion for the difference of two closed convex sets in general banach spaces

Anne Beaulieu^*
, Feng Zong

^*Corresponding author for this work

School of Mathematical Sciences

Equipe d'Anal

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

Abstract

The authors give some sufficient conditions for the difference of two closed convex sets to be closed in general Banach spaces, not necessarily reflexive.

Original language	English
Pages (from-to)	337-340
Number of pages	4
Journal	Chinese Annals of Mathematics. Series B
Volume	20
Issue number	3
DOIs	https://doi.org/10.1142/S0252959999000382
State	Published - 1999

Keywords

Asymptotic cone
Closedness
Conjugate convex function
Infimal convolution

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title = "A closedness criterion for the difference of two closed convex sets in general banach spaces",

abstract = "The authors give some sufficient conditions for the difference of two closed convex sets to be closed in general Banach spaces, not necessarily reflexive.",

keywords = "Asymptotic cone, Closedness, Conjugate convex function, Infimal convolution",

author = "Anne Beaulieu and Feng Zong",

year = "1999",

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journal = "Chinese Annals of Mathematics. Series B",

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AU - Zong, Feng

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AB - The authors give some sufficient conditions for the difference of two closed convex sets to be closed in general Banach spaces, not necessarily reflexive.

KW - Asymptotic cone

KW - Closedness

KW - Conjugate convex function

KW - Infimal convolution

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JO - Chinese Annals of Mathematics. Series B

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IS - 3

ER -

A closedness criterion for the difference of two closed convex sets in general banach spaces

Abstract

Keywords

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