Optimality conditions with respect to an ordering map using an exact separation principle
Optimality conditions
Abstract
In this note, we are concerned with a multiobjective optimization problem. Using a special (nonlinear) scalarization [1], together with an exact separation principle recently introduced by Zheng,Yang and Zou [11], we give necessary optimality conditions for locally weakly nondominated solutions with respect to a given ordering map. To get the results, a nonsmooth sequential Guignard constraint qualication is introduced.
Copyright (c) 2019 Gadhi Abderrazzak Nazih, Khadija Hamdaoui, Mohammed El Idrissi, Fatimazahra Rahou
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