Open mappings theorems and linearization stability
Jean‐Paul Penot · Numerical Functional Analysis and Optimization · 1985
An important computation rule for tangent cones is examined. Two results are given which assume only Hadamard differentiability (and a variant of it) instead of strict Fréchet differentiability. This allows the consideration of concrete examples such as superposition operators and can be applied to the problem of linearizing a nonlinear equation or inequality.