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

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

2 Citations (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.

Original language	English
Pages (from-to)	78-93
Number of pages	16
Journal	Journal of Optimization Theory and Applications
Volume	2018
DOIs	https://doi.org/10.1007/s10957-018-1307-4
Publication status	Published - 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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title = "On a Sufficient Condition for Weak Sharp Efficiency in Multiobjective Optimization",

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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author = "Monica Bianchi and G{\'a}bor Kassay and Rita Pini and Gabor Kassay",

year = "2018",

doi = "10.1007/s10957-018-1307-4",

language = "English",

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journal = "Journal of Optimization Theory and Applications",

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T1 - On a Sufficient Condition for Weak Sharp Efficiency in Multiobjective Optimization

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

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Keywords

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