Stability of equilibria via regularity of the diagonal subdifferential operator

Monica Bianchi; G. Kassay; R. Pini

doi:10.1007/s11228-017-0433-8

Stability of equilibria via regularity of the diagonal subdifferential operator

Monica Bianchi^*
, G. Kassay
, R. Pini

^*Autore corrispondente per questo lavoro

Babes-Bolyai University
University of Milan - Bicocca

Risultato della ricerca: Contributo in rivista › Articolo › peer review

3 Citazioni (Scopus)

Abstract

In this paper we investigate the Aubin property of the solution map of a parametric equilibrium problem, by providing a connection with a suitable behaviour of the diagonal subdifferential operator associated to the equilibrium bifunction. In particular, we shed some light on the relationship between metric regularity and subregularity of the diagonal subdifferential, on one side, and some properties of the bifunction, on the other side.

Lingua originale	Inglese
pagine (da-a)	789-805
Numero di pagine	17
Rivista	Set-Valued and Variational Analysis
DOI	https://doi.org/10.1007/s11228-017-0433-8
Stato di pubblicazione	Pubblicato - 2017

Keywords

Diagonal subdifferential
Metric subregularity
Parametric equilibrium problem
Sensitivity analysis

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10.1007/s11228-017-0433-8

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abstract = "In this paper we investigate the Aubin property of the solution map of a parametric equilibrium problem, by providing a connection with a suitable behaviour of the diagonal subdifferential operator associated to the equilibrium bifunction. In particular, we shed some light on the relationship between metric regularity and subregularity of the diagonal subdifferential, on one side, and some properties of the bifunction, on the other side.",

keywords = "Diagonal subdifferential, Metric subregularity, Parametric equilibrium problem, Sensitivity analysis, Diagonal subdifferential, Metric subregularity, Parametric equilibrium problem, Sensitivity analysis",

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AU - Kassay, G.

AU - Pini, R.

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AB - In this paper we investigate the Aubin property of the solution map of a parametric equilibrium problem, by providing a connection with a suitable behaviour of the diagonal subdifferential operator associated to the equilibrium bifunction. In particular, we shed some light on the relationship between metric regularity and subregularity of the diagonal subdifferential, on one side, and some properties of the bifunction, on the other side.

KW - Diagonal subdifferential

KW - Metric subregularity

KW - Parametric equilibrium problem

KW - Sensitivity analysis

KW - Diagonal subdifferential

KW - Metric subregularity

KW - Parametric equilibrium problem

KW - Sensitivity analysis

UR - http://hdl.handle.net/10807/113680

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DO - 10.1007/s11228-017-0433-8

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EP - 805

JO - Set-Valued and Variational Analysis

JF - Set-Valued and Variational Analysis

ER -

Stability of equilibria via regularity of the diagonal subdifferential operator

Abstract

Keywords

Accesso al documento

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