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Higher-order conditions for strict local Pareto minima for problems with partial order introduced by a polyhedral cone
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Higher-order conditions for strict local Pareto minima for problems with partial order introduced by a polyhedral cone
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Journal Article
Higher-order conditions for strict local Pareto minima for problems with partial order introduced by a polyhedral cone
2018
Overview
Using 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.
Publisher
De Gruyter,Walter de Gruyter GmbH
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