Hölder stability for solutions to vector equilibrium problems via scalarization

In this paper, we are concerned with vector equilibrium problems when both objective functions and constraints are subjected to perturbations.By using the scalarization method, we obtain sufficient conditions for the Hlder continuity of solution maps to parametric vector equilibrium problems.Our results are new or improve the ones documented in the literature.

Publication Details

Journal
Applied Set-Valued Analysis and Optimization
Published
2025-01-01
DOI
https://doi.org/10.23952/asvao.7.2025.2.08
Primary Topic
Nonlinear Differential Equations Analysis
Type
article
Field-Weighted Citation Impact
0.00

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article

Hölder stability for solutions to vector equilibrium problems via scalarization

Applied Set-Valued Analysis and Optimization
Nonlinear Differential Equations Analysis
article

Hölder stability for solutions to vector equilibrium problems via scalarization

article en

Abstract

In this paper, we are concerned with vector equilibrium problems when both objective functions and constraints are subjected to perturbations.By using the scalarization method, we obtain sufficient conditions for the Hlder continuity of solution maps to parametric vector equilibrium problems.Our results are new or improve the ones documented in the literature.

Applied Set-Valued Analysis and OptimizationVol. 7(2)
Viet Nam National University Ho Chi Minh City
Openalex Percentile: Top 92%
Nonlinear Differential Equations Analysis
DOIOpen Access PDFOpenAlex
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Hölder stability for solutions to vector equilibrium problems via scalarization · Applied Set-Valued Analysis and Optimization (2025) | TGRS Research Map | TGRS