Scalarization for pointwise well-posed vectorial problems

M. Durea ()

Mathematical Methods of Operations Research, 2007, vol. 66, issue 3, 409-418

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. Copyright Springer-Verlag 2007

Keywords: Well-posedness; Vector optimization; Scalarization; Quasiconvexity; 49K40; 49K35 (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (12)

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DOI: 10.1007/s00186-007-0162-0

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