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

^*Corresponding author

Babes-Bolyai University
University of Milan - Bicocca

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

3 Citations (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.

Original language	English
Pages (from-to)	789-805
Number of pages	17
Journal	Set-Valued and Variational Analysis
DOIs	https://doi.org/10.1007/s11228-017-0433-8
Publication status	Published - 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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journal = "Set-Valued and Variational Analysis",

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T1 - Stability of equilibria via regularity of the diagonal subdifferential operator

AU - Bianchi, Monica

AU - Kassay, G.

AU - Pini, R.

PY - 2017

Y1 - 2017

N2 - 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.

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

U2 - 10.1007/s11228-017-0433-8

DO - 10.1007/s11228-017-0433-8

M3 - Article

SN - 1877-0533

SP - 789

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

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