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Scalarization for pointwise well-posed vectorial problems

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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.

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Authors and Affiliations

  1. Faculty of Mathematics, “Al. I. Cuza” University, Bd. Carol I, nr. 11, 700506, Iaşi, Romania

    M. Durea

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  1. M. Durea
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Correspondence to M. Durea.

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Durea, M. Scalarization for pointwise well-posed vectorial problems. Math Meth Oper Res 66, 409–418 (2007). https://doi.org/10.1007/s00186-007-0162-0

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  • DOI: https://doi.org/10.1007/s00186-007-0162-0

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