Scalarization for pointwise well-posed vectorial problems

@article{Durea2007ScalarizationFP,
  title={Scalarization for pointwise well-posed vectorial problems},
  author={Marius Durea},
  journal={Math. Meth. of OR},
  year={2007},
  volume={66},
  pages={409-418}
}
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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