Loridan, P. (1995) Well-Posedness in Vector Optimization. In: Lucchetti, R., Revalski, J. and Serie, M.I.A., Eds., Recent Developments in Well-Posed Variational Problems, Kluwer Academic Publishers, Dordrecht, 331.
https://doi.org/10.1007/978-94-015-8472-2_7

has been cited by the following article:

• TITLE: On the Well-Posedness for Optimization Problems: A Theoretical Investigation

  AUTHORS: Rosa Ferrentino, Carmine Boniello

  KEYWORDS: Well-Posedness, Hadamard and Tykhonov Well-Posedness, Vector Optimization Problems, Scalarization Function

  JOURNAL NAME: Applied Mathematics, Vol.10 No.1, January 31, 2019

  ABSTRACT: In this paper, some theoretical notions of well-posedness and of well-posedness in the generalized sense for scalar optimization problems are presented and some important results are analysed. Similar notions of well-posedness, respectively for a vector optimization problem and for a variational inequality of differential type, are discussed subsequently and, among the various vector well-posedness notions known in the literature, the attention is focused on the concept of pointwise well-posedness. Moreover, after a review of well-posedness properties, the study is further extended to a scalarizing procedure that preserves well-posedness of the notions listed, namely to a result, obtained with a special scalarizing function, which links the notion of pontwise well-posedness to the well-posedness of a suitable scalar variational inequality of differential type.