Duality of regularizations and hullfunctions for mathematical programming problems

For the study of mathematical programming problems and solution methods the duality theory forms a powerful tool. There are also some concepts of regularization and stabilization of a given problem for a better behavior in practical solution procedures. The aim of this paper is the investigation of duality aspects of such regularizations and the forming of hullfunctions on the other hand. Applications for handling of so-called ill-posed problems (Eremin) using some parameterizations of the original problem will emphasize the importance for practical numerical methods, especially. This result will inspire some applications to solution methods for parameteric and multicriteria optimization.