A parametric variational principle and residuality

Robert Deville; Antoni n Procházka

doi:10.1016/j.jfa.2009.03.009

A parametric variational principle and residuality

Robert Deville
, Antoni n Procházka

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

Abstract

We prove a parametric version of a smooth convex variational principle with constraints using a Baire category approach. We examine in depth the necessity of the assumptions of our variational principle by providing counterexamples.

Original language	English (US)
Pages (from-to)	3568-3587
Number of pages	20
Journal	Journal of Functional Analysis
Volume	256
Issue number	11
DOIs	https://doi.org/10.1016/j.jfa.2009.03.009
State	Published - Jun 1 2009

Keywords

Continuous dependence of minimizers
Perturbed minimization
Smooth variational principle

ASJC Scopus subject areas

Analysis

Online availability

10.1016/j.jfa.2009.03.009

http://dx.doi.org/10.1016/j.jfa.2009.03.009

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title = "A parametric variational principle and residuality",

abstract = "We prove a parametric version of a smooth convex variational principle with constraints using a Baire category approach. We examine in depth the necessity of the assumptions of our variational principle by providing counterexamples.",

keywords = "Continuous dependence of minimizers, Perturbed minimization, Smooth variational principle",

author = "Robert Deville and Proch{\'a}zka, \{Antoni n\}",

note = "Funding Information: * Corresponding author. E-mail address: [email protected] (A. Proch{\'a}zka). 1 Supported by the grants: Institutional Research Plan AV0Z10190503, A100190801, GA Cˇ R 201/07/0394.",

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AU - Deville, Robert

AU - Procházka, Antoni n

N1 - Funding Information: * Corresponding author. E-mail address: [email protected] (A. Procházka). 1 Supported by the grants: Institutional Research Plan AV0Z10190503, A100190801, GA Cˇ R 201/07/0394.

PY - 2009/6/1

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N2 - We prove a parametric version of a smooth convex variational principle with constraints using a Baire category approach. We examine in depth the necessity of the assumptions of our variational principle by providing counterexamples.

AB - We prove a parametric version of a smooth convex variational principle with constraints using a Baire category approach. We examine in depth the necessity of the assumptions of our variational principle by providing counterexamples.

KW - Continuous dependence of minimizers

KW - Perturbed minimization

KW - Smooth variational principle

UR - https://www.scopus.com/pages/publications/64549164504

UR - https://www.scopus.com/pages/publications/64549164504#tab=citedBy

U2 - 10.1016/j.jfa.2009.03.009

DO - 10.1016/j.jfa.2009.03.009

M3 - Article

SN - 0022-1236

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SP - 3568

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JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 11

ER -

A parametric variational principle and residuality

Abstract

Keywords

ASJC Scopus subject areas

Online availability

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