Optimization Letters

, Volume 8, Issue 7, pp 2021–2037 | Cite as

Scalarization of constraints system in some vector optimization problems and applications

Original Paper


In this work we employ a new method to penalize a constrained non solid vector optimization problem by means of a scalarization functional applied to the constraints system. Then, we formulate optimality conditions which mainly use several types of regularity for single and set-valued maps. In order to motivate our demarche, we discuss in detail the assumptions used in the main results and we show how it can be verified.


Penalization Scalarization of constraints Pareto efficiency  Bouligand cone 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.Faculty of MathematicsAl. I. Cuza UniversityIasiRomania
  2. 2.Department of Mathematics and InformaticsGh. Asachi Technical UniversityIasiRomania

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