Stability Analysis for Semi-Infinite Vector Optimization Problems under Functional Perturbations

Zai Yun Peng; Yun Bin Zhao; Ka Fai Cedric Yiu; Ya Cong Zhou

doi:10.1080/01630563.2022.2077758

Stability Analysis for Semi-Infinite Vector Optimization Problems under Functional Perturbations

Zai Yun Peng, Yun Bin Zhao, Ka Fai Cedric Yiu, Ya Cong Zhou

Research output: Journal article publication › Journal article › Academic research › peer-review

2 Citations (Scopus)

Abstract

This paper aims to study the stability of a class of semi-infinite vector optimization problems (SVOP) under functional perturbations. By using an important hypothesis (Formula presented.) a necessary and sufficient condition of Hausdorff continuity for weak efficient solution mappings and certain sufficient conditions for Painlevé-Kuratowski convergence of weak efficient solution sets for SVOP are established under the perturbations of both constraint sets and objective functions.

Original language	English
Pages (from-to)	1027-1049
Number of pages	23
Journal	Numerical Functional Analysis and Optimization
Volume	43
Issue number	9
DOIs	https://doi.org/10.1080/01630563.2022.2077758
Publication status	Published - Jul 2022

Keywords

Hausdorff continuity
Painlevé-Kuratowski convergence
semi-infinite vector optimization problem
weak efficient solution

ASJC Scopus subject areas

Analysis
Signal Processing
Computer Science Applications
Control and Optimization

More information

10.1080/01630563.2022.2077758

Cite this

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title = "Stability Analysis for Semi-Infinite Vector Optimization Problems under Functional Perturbations",

abstract = "This paper aims to study the stability of a class of semi-infinite vector optimization problems (SVOP) under functional perturbations. By using an important hypothesis (Formula presented.) a necessary and sufficient condition of Hausdorff continuity for weak efficient solution mappings and certain sufficient conditions for Painlev{\'e}-Kuratowski convergence of weak efficient solution sets for SVOP are established under the perturbations of both constraint sets and objective functions.",

keywords = "Hausdorff continuity, Painlev{\'e}-Kuratowski convergence, semi-infinite vector optimization problem, weak efficient solution",

author = "Peng, \{Zai Yun\} and Zhao, \{Yun Bin\} and Yiu, \{Ka Fai Cedric\} and Zhou, \{Ya Cong\}",

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AU - Peng, Zai Yun

AU - Zhao, Yun Bin

AU - Yiu, Ka Fai Cedric

AU - Zhou, Ya Cong

PY - 2022/7

Y1 - 2022/7

N2 - This paper aims to study the stability of a class of semi-infinite vector optimization problems (SVOP) under functional perturbations. By using an important hypothesis (Formula presented.) a necessary and sufficient condition of Hausdorff continuity for weak efficient solution mappings and certain sufficient conditions for Painlevé-Kuratowski convergence of weak efficient solution sets for SVOP are established under the perturbations of both constraint sets and objective functions.

AB - This paper aims to study the stability of a class of semi-infinite vector optimization problems (SVOP) under functional perturbations. By using an important hypothesis (Formula presented.) a necessary and sufficient condition of Hausdorff continuity for weak efficient solution mappings and certain sufficient conditions for Painlevé-Kuratowski convergence of weak efficient solution sets for SVOP are established under the perturbations of both constraint sets and objective functions.

KW - Hausdorff continuity

KW - Painlevé-Kuratowski convergence

KW - semi-infinite vector optimization problem

KW - weak efficient solution

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DO - 10.1080/01630563.2022.2077758

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EP - 1049

JO - Numerical Functional Analysis and Optimization

JF - Numerical Functional Analysis and Optimization

IS - 9

ER -

Stability Analysis for Semi-Infinite Vector Optimization Problems under Functional Perturbations

Abstract

Keywords

ASJC Scopus subject areas

More information

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