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2013 LAGRANGIAN DUALITY FOR VECTOR OPTIMIZATION PROBLEM WITH SET-VALUED MAPPINGS
Jian-Wen Peng, Xian Long
Taiwanese J. Math. 17(1): 287-297 (2013). DOI: 10.11650/tjm.17.2013.1935

Abstract

In this paper, by using a alternative theorem, we establish Lagrangian conditions and duality results for set-valued vector optimization problems when the objective and constant are nearly cone-subconvexlike multifunctions in the sense of $E$-weak minimizer.

Citation

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Jian-Wen Peng. Xian Long. "LAGRANGIAN DUALITY FOR VECTOR OPTIMIZATION PROBLEM WITH SET-VALUED MAPPINGS." Taiwanese J. Math. 17 (1) 287 - 297, 2013. https://doi.org/10.11650/tjm.17.2013.1935

Information

Published: 2013
First available in Project Euclid: 10 July 2017

zbMATH: 1290.90067
MathSciNet: MR3028870
Digital Object Identifier: 10.11650/tjm.17.2013.1935

Subjects:
Primary: 90C29 , 90C46

Keywords: $E$-weak minimizer , alternative theorem , Lagrangian duality , nearly cone-subconvexlikeness , set-valued vector optimization problems

Rights: Copyright © 2013 The Mathematical Society of the Republic of China

Vol.17 • No. 1 • 2013
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