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Numerical Functional Analysis and Optimization Volume 35, 2014 - Issue 1
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Original Articles

Higher-Order Efficiency Conditions Via Higher-Order Tangent Cones

Do Van Luu Institute of Mathematics, Vietnam Academy of Science and Technology, Hanoi, VietnamCorrespondence[email protected]
Pages 68-84 | Received 14 Nov 2012, Accepted 25 May 2013, Published online: 09 Dec 2013
 
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Abstract

This article presents higher-order necessary and sufficient efficiency conditions for multiobjective optimization problems involving cone-constraints and a set constraint with G\^ateaux differentiable functions via higher-order tangential cones.

2000 Mathematics Subject Classification:

ACKNOWLEDGMENTS

The author thanks the referees for their valuable comments and suggestions.

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