A characterization of proper minimal points as solutions of sublinear optimization problems
The concept of ``proper solutions'' for optimization problems in some different formulations is considered and a comparison between them is done. In the first sections of the article one proves some basic results regarding cone separation and sublinear functionals induced by cones. Further, one provides necessary and sufficient conditions for a proper minimal point of being a solution for a scalar optimization problem and necessary conditions for proper minimality in locally convex spaces respectively normed spaces.
scientific article; zbMATH DE number 484013