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<p>The aim of this paper is to establish, without any constraint qualification, sequential optimality conditions for a vector-constrained robust multiobjective fractional programming problem, characterizing a Pareto efficient (or simply efficient) solution. This is achieved in terms of the epigraphs of the conjugate, approximate subdifferential, and the subdifferential of the involved functions at the minimizer. Finally, we present an example illustrating the main results of this paper.</p>

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Sequential efficiency optimality conditions for Robust multiobjective fractional optimization problems

  • 期刊论文

  • 发表日期：

    2025年10月23日

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  • M’hamed Mabrouk,
  • Mohamed Laghdir,
  • Ahmed Ed-dahdah

摘要

The aim of this paper is to establish, without any constraint qualification, sequential optimality conditions for a vector-constrained robust multiobjective fractional programming problem, characterizing a Pareto efficient (or simply efficient) solution. This is achieved in terms of the epigraphs of the conjugate, approximate subdifferential, and the subdifferential of the involved functions at the minimizer. Finally, we present an example illustrating the main results of this paper.