Openness, Holder metric regularity and Holder continuity properties of semialgebraic set-valued maps

Jae Hyoung Lee, Tien-Son Pham

Given a semialgebraic set-valued map $F:{\mathbb{R}}^n\rightrightarrows {\mathbb{R}}^m$ with closed graph, we show that the map $F$ is Holder metrically subregular and that the…