Article ID: | iaor2014282 |
Volume: | 7 |
Issue: | 8 |
Start Page Number: | 1847 |
End Page Number: | 1856 |
Publication Date: | Dec 2013 |
Journal: | Optimization Letters |
Authors: | Li X, Zeng J, Long X |
Keywords: | Lagrangian methods, vector optimization |
The purpose of this paper is to consider the set‐valued optimization problem in Asplund spaces without convexity assumption. By a scalarization function introduced by Tammer and Weidner (1990), we obtain the Lagrangian condition for approximate solutions on set‐valued optimization problems in terms of the Mordukhovich coderivative.