Scalarization for pointwise well-posed vectorial problems |
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| Authors: | M Durea |
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| Institution: | (1) Faculty of Mathematics, “Al. I. Cuza” University, Bd. Carol I, nr. 11, 700506 Iaşi, Romania |
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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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| Keywords: | Well-posedness Vector optimization Scalarization Quasiconvexity |
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