Duality in nonlinear multiobjective programming using augmented Lagrangian functions

被引：0

作者：

Department of Mathematics, St. Lawrence University, Canton, NY, United States ^{[1
]}

不详 ^{[2
]}

不详 ^{[3
]}

机构：

来源：

J. Optim. Theory Appl. | / 3卷 / 659-670期

关键词：

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.

引用

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[1] Duality in nonlinear multiobjective programming using augmented Lagrangian functions
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