Necessary and Sufficient Conditions for Set-Valued Maps with Set Optimization

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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Bibliographic Details
Main Authors: Abdessamad Oussarhan, Ikram Daidai
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2018/5962049
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