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2015 DIRECTIONAL DERIVATIVES IN SET OPTIMIZATION WITH THE SET LESS ORDER RELATION
Johannes Jahn
Taiwanese J. Math. 19(3): 737-757 (2015). DOI: 10.11650/tjm.19.2015.4940

Abstract

Based on a special concept of the difference of sets, a new notion ofthe directional derivative of a set-valued map is presented. This theoryis applied to set optimization problems with the known set less orderrelation, and it results in necessary and sufficient optimalityconditions.

Citation

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Johannes Jahn. "DIRECTIONAL DERIVATIVES IN SET OPTIMIZATION WITH THE SET LESS ORDER RELATION." Taiwanese J. Math. 19 (3) 737 - 757, 2015. https://doi.org/10.11650/tjm.19.2015.4940

Information

Published: 2015
First available in Project Euclid: 4 July 2017

zbMATH: 1357.49063
MathSciNet: MR3353251
Digital Object Identifier: 10.11650/tjm.19.2015.4940

Subjects:
Primary: 06A99 , 49J53 , 90C46

Keywords: directional derivatives , optimality conditions , set optimization

Rights: Copyright © 2015 The Mathematical Society of the Republic of China

Vol.19 • No. 3 • 2015
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