Optimality conditions for interval-valued vector equilibrium problems

In the article, one formulates Fritz John type and Karush-Kuhn-Tucker type necessary conditions for an interval-valued vector equilibrium problem having a locally LU-efficient solution, where convexificators demonstrate the solutions that are regular.Sufficient conditions for a locally weak LU-efficient solution have been entrenched by imposing appropriate assumptions along with generalized convexity.Some applications are presented for a constrained intervalvalued vector variational inequality and a constrained interval-valued vector optimization problem.

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Publication Details

Journal
Kybernetika
Published
2025-11-20
DOI
https://doi.org/10.14736/kyb-2025-5-0688
Primary Topic
Optimization and Variational Analysis
Type
article
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article

Optimality conditions for interval-valued vector equilibrium problems

Ashish Kumar Prasad, I. Ahmad, Julie Khatri
Kybernetika
Optimization and Variational Analysis
article

Optimality conditions for interval-valued vector equilibrium problems

Ashish Kumar Prasad, I. Ahmad, Julie Khatri
article en

Abstract

In the article, one formulates Fritz John type and Karush-Kuhn-Tucker type necessary conditions for an interval-valued vector equilibrium problem having a locally LU-efficient solution, where convexificators demonstrate the solutions that are regular.Sufficient conditions for a locally weak LU-efficient solution have been entrenched by imposing appropriate assumptions along with generalized convexity.Some applications are presented for a constrained intervalvalued vector variational inequality and a constrained interval-valued vector optimization problem.

Kybernetika
Openalex Percentile: Top 64%
Optimization and Variational Analysis
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