Optimality and Duality Theorems in Nonsmooth Multiobjective Optimization

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作者
Kwan Deok Bae
Do Sang Kim
机构
[1] Pukyong National University,Department of Applied Mathematics
关键词
Nonsmooth multiobjective programming; strict minimizers; optimality conditions; duality;
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摘要
In this paper, we consider a class of nonsmooth multiobjective programming problems. Necessary and sufficient optimality conditions are obtained under higher order strongly convexity for Lipschitz functions. We formulate Mond-Weir type dual problem and establish weak and strong duality theorems for a strict minimizer of order m.
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