Optimality conditions with respect to an ordering map using an exact separation principle
In this note, we are concerned with a multiobjective optimization problem. Using a special (nonlinear) scalarization , together with an exact separation principle recently introduced by Zheng,Yang and Zou , 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
This work is licensed under a Creative Commons Attribution 4.0 International License.
The authors retain all rights to the original work without any restrictions.
License for Published Contents
"Le Matematiche" published articlesa are distribuited with Creative Commons Attribution 4.0 International. You are free to copy, distribute and transmit the work, and to adapt the work. You must attribute the work in the manner specified by the author or licensor (but not in any way that suggests that they endorse you or your use of the work).
License for Metadata
"Le Matematiche" published articles metadata are dedicated to the public domain by waiving all publisher's rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law.
You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.
No Fee Charging
No fee is required to complete the submission/review/publishing process of authors paper.