On set-valued optimization problems with variable ordering structure

Marius Durea (), Radu Strugariu () and Christiane Tammer ()

Journal of Global Optimization, 2015, vol. 61, issue 4, 745-767

Abstract: In this paper we introduce and investigate an optimality concept for set-valued optimization problems with variable ordering structure. In our approach, the ordering structure is governed by a set-valued map acting between the same spaces as the objective multifunction. Necessary optimality conditions for the proposed problem are derived in terms of Bouligand and Mordukhovich generalized differentiation objects. Copyright Springer Science+Business Media New York 2015

Keywords: Nondomination property; Pareto optimization; Variable ordering structure; Openness for sum-multifunction; Necessary optimality conditions; 90C30; 49J52; 49J53 (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (9)

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DOI: 10.1007/s10898-014-0207-x

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