Higher-order conditions for strict local Pareto minima for problems with partial order introduced by a polyhedral cone

Higher-order conditions for strict local Pareto minima for problems with partial order introduced... AbstractUsing the definitions of μ-th order lower and upper directional derivatives of vector-valued functions, introduced in Rahmo and Studniarski (J. Math. Anal. Appl. 393 (2012), 212–221), we provide some necessary and sufficient conditions for strict local Pareto minimizers of order μ for optimization problems where the partial order is introduced by a pointed polyhedral cone with non-empty interior. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Applied Analysis de Gruyter

Higher-order conditions for strict local Pareto minima for problems with partial order introduced by a polyhedral cone

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Publisher
de Gruyter
Copyright
© 2018 Walter de Gruyter GmbH, Berlin/Boston
ISSN
1869-6082
eISSN
1869-6082
D.O.I.
10.1515/jaa-2018-0005
Publisher site
See Article on Publisher Site

Abstract

AbstractUsing the definitions of μ-th order lower and upper directional derivatives of vector-valued functions, introduced in Rahmo and Studniarski (J. Math. Anal. Appl. 393 (2012), 212–221), we provide some necessary and sufficient conditions for strict local Pareto minimizers of order μ for optimization problems where the partial order is introduced by a pointed polyhedral cone with non-empty interior.

Journal

Journal of Applied Analysisde Gruyter

Published: Jun 1, 2018

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