On Some Methods to Derive Necessary and Sufficient Optimality Conditions in Vector Optimization

Marius Durea (), Radu Strugariu () and Christiane Tammer ()
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Marius Durea: “Al. I. Cuza” University
Radu Strugariu: “Gh. Asachi” Technical University
Christiane Tammer: Martin-Luther-Universität Halle-Wittenberg

Journal of Optimization Theory and Applications, 2017, vol. 175, issue 3, No 7, 738-763

Abstract: Abstract The aim of this paper is to address new approaches, in separate ways, to necessary and, respectively, sufficient optimality conditions in constrained vector optimization. In this respect, for the necessary optimality conditions that we derive, we use a kind of vectorial penalization technique, while for the sufficient optimality conditions we make use of an appropriate scalarization method. In both cases, the approaches couple a basic technique (of penalization or scalarization, respectively) with several results in variational analysis and optimization obtained by the authors in the last years. These combinations allow us to arrive to optimality conditions which are, in terms of assumptions made, new.

Keywords: Vector optimization; Necessary optimality conditions; Sufficient optimality conditions; Penalization; Scalarization; 49J53; 49K27; 90C46 (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/s10957-016-1059-y

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