Lagrangian conditions for approximate solutions on nonconvex set‐valued optimization problems

Lagrangian conditions for approximate solutions on nonconvex set‐valued optimization problems

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Article ID: iaor2014282
Volume: 7
Issue: 8
Start Page Number: 1847
End Page Number: 1856
Publication Date: Dec 2013
Journal: Optimization Letters
Authors: , ,
Keywords: Lagrangian methods, vector optimization
Abstract:

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.

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