On sufficiency and duality for multi-objective interval-valued programs via parametrization

In this article, we consider the vector optimization problem with interval-valued objective and constraint functions and derive the sufficient optimality conditions for a feasible point to be an efficient point of the primal problem.Further, we formulate a Mond-Weir type dual model and establish the several duality results which relates the efficient point of primal and its dual programs.Moreover, examples are also given to verify the results.

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Publication Details

Journal
The Journal of Nonlinear Sciences and Applications
Published
2026-10-30
DOI
https://doi.org/10.22436/jnsa.019.03.02
Primary Topic
Optimization and Variational Analysis
Type
article
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article

On sufficiency and duality for multi-objective interval-valued programs via parametrization

A. Jayswal, A. Kumar, J. Banerjee
The Journal of Nonlinear Sciences and Applications
Optimization and Variational Analysis
article

On sufficiency and duality for multi-objective interval-valued programs via parametrization

A. Jayswal, A. Kumar, J. Banerjee
article en

Abstract

In this article, we consider the vector optimization problem with interval-valued objective and constraint functions and derive the sufficient optimality conditions for a feasible point to be an efficient point of the primal problem.Further, we formulate a Mond-Weir type dual model and establish the several duality results which relates the efficient point of primal and its dual programs.Moreover, examples are also given to verify the results.

The Journal of Nonlinear Sciences and ApplicationsVol. 19(03)
Indian Institute of Technology Dhanbad (IN)
Openalex Percentile: Top 14%
Optimization and Variational Analysis
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