
AbstractUsing the scalar ε-parametric approach, we establish the Karush-Kuhn-Tucker (which we call KKT) necessary and sufficient conditions for an ε-Pareto optimum of nondifferentiable multiobjective fractional objective functions subject to nondifferentiable convex inequality constraints, linear equality constraints, and abstract constraints. These optimality criteria are utilized as a basis for constructing one duality model with appropriate duality theorems. Subsequently, we employ scalar exact penalty function to transform the multiobjective fractional programming problem to an unconstrained problem. Under this case, we derive the KKT necessary and sufficient conditions without a constraint qualification for ε-Pareto optimality of multiobjective fractional programming.
Computational Mathematics, Computational Theory and Mathematics, Modelling and Simulation, Penalty functions, ε-Pareto optimality, ε-Parametric approach
Computational Mathematics, Computational Theory and Mathematics, Modelling and Simulation, Penalty functions, ε-Pareto optimality, ε-Parametric approach
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