Lagrangian conditions for approximate solutions on nonconvex set-valued optimization problems |
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| Authors: | X. J. Long X. B. Li J. Zeng |
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| Affiliation: | 1. College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing, 400067, People’s Republic of China
2. College of Science, Chongqing JiaoTong University, Chongqing, 400074, People’s Republic of China
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| 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 (J Optim Theory Appl 67:297–320, 1990), we obtain the Lagrangian condition for approximate solutions on set-valued optimization problems in terms of the Mordukhovich coderivative. |
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