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2018 Necessary and Sufficient Conditions for Set-Valued Maps with Set Optimization
Abdessamad Oussarhan, Ikram Daidai
Abstr. Appl. Anal. 2018: 1-6 (2018). DOI: 10.1155/2018/5962049


Optimality conditions are studied for set-valued maps with set optimization. Necessary conditions are given in terms of S -derivative and contingent derivative. Sufficient conditions for the existence of solutions are shown for set-valued maps under generalized quasiconvexity assumptions.


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Abdessamad Oussarhan. Ikram Daidai. "Necessary and Sufficient Conditions for Set-Valued Maps with Set Optimization." Abstr. Appl. Anal. 2018 1 - 6, 2018.


Received: 15 August 2017; Accepted: 10 December 2017; Published: 2018
First available in Project Euclid: 14 February 2018

zbMATH: 06929591
MathSciNet: MR3745610
Digital Object Identifier: 10.1155/2018/5962049

Rights: Copyright © 2018 Hindawi

Vol.2018 • 2018
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