Calculation of a sharp Lipschitz constant for a system of linear inequalities (Q1878761)

The paper considers a multivalued mapping \(A\) defined by a finite set of linear algebraic inequalities in \(R^n\). The authors obtain formulas for calculating the sharp Lipschitz constants for this mapping on the set \(\{x| A(x)\neq 0\}\) with respect to the norms \(\| x\| _\infty=\max_{1\leq i\leq n} | x^i| \) and \(\| x\| _1=\sum_{i=1}^n | x^i| \).