Optimality results for nondifferentiable multiobjective fractional programming problems under E-B-invexity

In this article, we study nonconvex multiobjective fractional programming problems involving E-differentiable functions (MFP E ). We establish the E-Karush–Kuhn–Tucker (E-KKT) sufficient E-optimality conditions for nonsmooth vector optimization problems under the assumption of E-B-invexity. To demonstrate the validity of the derived results, we provide an example where the involved functions exhibit E-B-invexity.

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Publication Details

Journal
Results in Control and Optimization
Published
2024-10-11
DOI
https://doi.org/10.1016/j.rico.2024.100486
Citations
1
Primary Topic
Optimization and Variational Analysis
Type
article
Field-Weighted Citation Impact
0.36

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article

Optimality results for nondifferentiable multiobjective fractional programming problems under E-B-invexity

Abdelouahed Hamdi, Shashi Kant Mishra, Pankaj Kumar, Dhruv Singh
1 citations
Results in Control and Optimization
Optimization and Variational Analysis
0.36
article

Optimality results for nondifferentiable multiobjective fractional programming problems under E-B-invexity

Abdelouahed Hamdi, Shashi Kant Mishra, Pankaj Kumar, Dhruv Singh
article en
1 citations

Abstract

In this article, we study nonconvex multiobjective fractional programming problems involving E-differentiable functions (MFP E ). We establish the E-Karush–Kuhn–Tucker (E-KKT) sufficient E-optimality conditions for nonsmooth vector optimization problems under the assumption of E-B-invexity. To demonstrate the validity of the derived results, we provide an example where the involved functions exhibit E-B-invexity.

Results in Control and OptimizationVol. 17
Qatar University (QA), Banaras Hindu University (IN)
Banaras Hindu University
Openalex Percentile: Top 35%
Optimization and Variational Analysis
0.36
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