Article Contents
Article Contents

Second-order weak composed epiderivatives and applications to optimality conditions

• In this paper, one introduces the second-order weak composed contingent epiderivative of set-valued maps, and discusses some of its properties. Then, by virtue of the second-order weak composed contingent epiderivative, necessary optimality conditions and sufficient optimality conditions are obtained for set-valued optimization problems. As consequences, recent existing results are derived. Several examples are provided to show the main results obtained.
Mathematics Subject Classification: 90C26, 90C46.

 Citation:

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