(1) Institut für Angewandte Mathematik, Humboldt-Universität zu Berlin, Postfach1297, D-10099 Berlin, Germany;(2) Institut für Operations Research, Universität Zürich, Moussonstrasse 15, CH-8044 Zürich, Switzerland
Abstract:
For parametric systems of (finitely many) equations and (infinitely many) inequalities the well-known concept of metric regularity is shown to be equivalent to the so-called extended Mangasarian-Fromovitz constraint qualification. By this, a corresponding result obtained by Robinson for finite optimization problems my be transferred to semi-infinite optimization. For the proof a local epigraph representation of the constraint set is mainly used.