A contraction T on a complete metric space has a unique fixed point x*, and the iteration x_{n+1} = T x_n converges to x* geometrically with the a-priori bound d(x_n, x*) ≤ qⁿ · d(x_1, x_0) / (1 − q). Banach 1922. Powers Picard-Lindelöf…
A contraction T on a complete metric space has a unique fixed point x*, and the iteration x_{n+1} = T x_n converges to x* geometrically with the a-priori bound d(x_n, x*) ≤ qⁿ · d(x_1, x_0) / (1 − q). Banach 1922. Powers Picard-Lindelöf…