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Bounded sets of Lagrange multipliers for vector optimization problems in infinite dimension |
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| Authors: | M Durea |
| Institution: | a Faculty of Mathematics, “Al. I. Cuza” University, Bd. Carol I, nr. 11, 700506 Ia?i, Romania b Department of Mathematics and Statistics, Indian Institute of Technology, Kanpur, Kanpur 208016, India c Martin-Luther-Universität Halle-Wittenberg, Fachbereich Mathematik und Informatik, Institut für Optimierung und Stochastik, D-06099 Halle (Saale), Germany |
| Abstract: | The aim of this paper is to point out some sufficient constraint qualification conditions ensuring the boundedness of a set of Lagrange multipliers for vectorial optimization problems in infinite dimension. In some (smooth) cases these conditions turn out to be necessary for the existence of multipliers as well. |
| Keywords: | Lagrange multipliers Vector optimization Mangasarian-Fromovitz conditions |
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