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<p>This paper, we apply Chankong-Haimes scheme to obtain some new results on necessary optimality conditions with respect to <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\varepsilon -\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>ε</mi> <mo>-</mo> </mrow> </math></EquationSource> </InlineEquation>quasi Pareto efficient solutions of nonsmooth fractional multiobjective optimization problems with infinite constraints. Besides, we also investigate saddle point theorems for fractional multiobjective optimization problems with infinite constraints. Finally, some examples are given to illustrate the obtained results.</p>

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On Chankong–Haimes scheme for approximate optimality conditions of nonsmooth fractional multiobjective optimization problems with infinite constraints

  • 期刊论文

  • 发表日期：

    2026年3月30日

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  • Thanh-Hung Pham

摘要

This paper, we apply Chankong-Haimes scheme to obtain some new results on necessary optimality conditions with respect to \(\varepsilon -\) ε - quasi Pareto efficient solutions of nonsmooth fractional multiobjective optimization problems with infinite constraints. Besides, we also investigate saddle point theorems for fractional multiobjective optimization problems with infinite constraints. Finally, some examples are given to illustrate the obtained results.