On generic quadratic penalty embeddings for nonlinear optimization problems

Abstract

The generic character of the regularity in the sense of Jongen, Jonker und Twilt is studied for a particular class of embeddings, wich represents a quadratic penalty procedure. In this paper we state a suitable perturbation result (into the mentioned class), which is the main part for the proof of genericity. Finally, the results of some numerical experience are mentioned and two selected examples are presented.