Duality in nonlinear multiobjective programming using augmented Lagrangian functions

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Department of Mathematics, St. Lawrence University, Canton, NY, United States [1 ]
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J. Optim. Theory Appl. | / 3卷 / 659-670期
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Constrained optimization - Lagrange multipliers - Multiobjective optimization - Pareto principle;
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摘要
A vector-valued generalized Lagrangian is constructed for a nonlinear multiobjective programming problem. Using the Lagrangian, a multiobjective dual is considered. Without assuming differentiability, weak and strong duality theorems are established using Pareto efficiency.
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