Vector Optimization Problems with Generalized Functional Constraints in Variable Ordering Structure Setting

Elena-Andreea Florea ()
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Elena-Andreea Florea: “Alexandru Ioan Cuza” University

Journal of Optimization Theory and Applications, 2018, vol. 178, issue 1, No 6, 94-118

Abstract: Abstract 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.

Keywords: Vector optimization; Variable ordering structure; Necessary optimality conditions; Generalized differentiation; 49J53; 49J52; 90C29 (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s10957-018-1269-6

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