2 problems

Let $\Gamma \subset \mathbb{R}^3$ be given by … and let $F:\mathbb{R}^2\to\mathbb{R}^3$ be defined by … where $a,b,c,d\in\mathbb{R}$, with $\bar{x}:=(0,0)$, and suppose $a=0$ and…

Let $F$ be a set-valued mapping, and let $\operatorname{rad}$ denote a radius of metric subregularity and $\operatorname{reg}$ denote the corresponding regularity modulus. Reciproc…