Hölder-Type Global Error Bounds for Non-degenerate Polynomial Systems

Si Tiep Dinh, Ha Huy Vui, Pham Tien Son

Let $F:=(f_1,\dots ,f_p):{\mathbb{R}}^n\to {\mathbb{R}}^p$ be a polynomial map, and suppose that $S:=\{x\in {\mathbb{R}}^n:f_i(x)\le 0,i=1,\dots ,p\}\ne \varnothing .$…