Mathematical Methods of Operations Research

, Volume 66, Issue 3, pp 409–418 | Cite as

Scalarization for pointwise well-posed vectorial problems

Original Article

Abstract

The aim of this paper is to develop a method of study of Tykhonov well-posedness notions for vector valued problems using a class of scalar problems. Having a vectorial problem, the scalarization technique we use allows us to construct a class of scalar problems whose well-posedness properties are equivalent with the most known well-posedness properties of the original problem. Then a well-posedness property of a quasiconvex level-closed problem is derived.

Keywords

Well-posedness Vector optimization Scalarization Quasiconvexity 

Mathematics Subject Classification (2000)

49K40 49K35 

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Copyright information

© Springer-Verlag 2007

Authors and Affiliations

  1. 1.Faculty of Mathematics“Al. I. Cuza” UniversityIaşiRomania

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