Vector Optimization Problems with Generalized Functional Constraints in Variable Ordering Structure Setting
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This article aims at studying a special class of constrained vector optimization problems in the setting of a variable ordering structure, having a geometric constraint and finitely many generalized functional constraints. Based on a version of the extended extremal principle, some necessary optimality conditions for a minimal solution of the proposed problem are derived in terms of coderivatives and normal cones.
KeywordsVector optimization Variable ordering structure Necessary optimality conditions Generalized differentiation
Mathematics Subject Classification49J53 49J52 90C29
The author is grateful for the comments and suggestions of the editor and the two anonymous reviewers. Also, the author expresses his particular gratitude to Prof. Franco Giannessi, whose remarks allowed to improve considerably the original submission of this paper. This research was supported by a grant of Romanian Ministry of Research and Innovation, CNCS-UEFISCDI, Project Number PN-III-P4-ID-PCE-2016-0188, within PNCDI III.
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