On a Sufficient Condition for Weak Sharp Efficiency in Multiobjective Optimization

Monica Bianchi; Gábor Kassay; Rita Pini; Gabor Kassay

doi:10.1007/s10957-018-1307-4

On a Sufficient Condition for Weak Sharp Efficiency in Multiobjective Optimization

Monica Bianchi
, Gábor Kassay
, Rita Pini
, Gabor Kassay

Babes-Bolyai University

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

2 Citazioni (Scopus)

Abstract

In this paper, we provide sufficient conditions entailing the existence of weak sharp efficient points of a multiobjective optimization problem. The approach uses variational analysis techniques, like regularity and subregularity of the diagonal subdifferential map related to a suitable scalar equilibrium problem naturally associated to the multiobjective optimization problem.

Lingua originale	Inglese
pagine (da-a)	78-93
Numero di pagine	16
Rivista	Journal of Optimization Theory and Applications
Volume	2018
DOI	https://doi.org/10.1007/s10957-018-1307-4
Stato di pubblicazione	Pubblicato - 2018

Keywords

Diagonal subdifferential operator
Metric subregularity
Multiobjective optimization problem
Weak sharp efficient point

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10.1007/s10957-018-1307-4

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abstract = "In this paper, we provide sufficient conditions entailing the existence of weak sharp efficient points of a multiobjective optimization problem. The approach uses variational analysis techniques, like regularity and subregularity of the diagonal subdifferential map related to a suitable scalar equilibrium problem naturally associated to the multiobjective optimization problem.",

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AU - Bianchi, Monica

AU - Kassay, Gábor

AU - Pini, Rita

AU - Kassay, Gabor

PY - 2018

Y1 - 2018

N2 - In this paper, we provide sufficient conditions entailing the existence of weak sharp efficient points of a multiobjective optimization problem. The approach uses variational analysis techniques, like regularity and subregularity of the diagonal subdifferential map related to a suitable scalar equilibrium problem naturally associated to the multiobjective optimization problem.

AB - In this paper, we provide sufficient conditions entailing the existence of weak sharp efficient points of a multiobjective optimization problem. The approach uses variational analysis techniques, like regularity and subregularity of the diagonal subdifferential map related to a suitable scalar equilibrium problem naturally associated to the multiobjective optimization problem.

KW - Diagonal subdifferential operator

KW - Metric subregularity

KW - Multiobjective optimization problem

KW - Weak sharp efficient point

KW - Diagonal subdifferential operator

KW - Metric subregularity

KW - Multiobjective optimization problem

KW - Weak sharp efficient point

UR - http://hdl.handle.net/10807/119925

U2 - 10.1007/s10957-018-1307-4

DO - 10.1007/s10957-018-1307-4

M3 - Article

SN - 0022-3239

VL - 2018

SP - 78

EP - 93

JO - Journal of Optimization Theory and Applications

JF - Journal of Optimization Theory and Applications

ER -

On a Sufficient Condition for Weak Sharp Efficiency in Multiobjective Optimization

Abstract

Keywords

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