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

Article

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 

Mathematics Subject Classification

49J53 49K27 90C46 

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Copyright information

© Springer Science+Business Media New York 2017

Authors and Affiliations

  1. 1.Faculty of Mathematics“Al. I. Cuza” UniversityIasiRomania
  2. 2.Department of Mathematics and Informatics“Gh. Asachi” Technical UniversityIasiRomania
  3. 3.Institute of MathematicsMartin-Luther-Universität Halle-WittenbergHalle (Saale)Germany

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