Let C be a nonempty closed convex proper subset of a real uniformly convex and uniformly smooth Banach space E, let S : C → C be a relatively nonexpansive mapping, and let T : C → E be an ...

Anderson acceleration is an optimisation technique designed to improve the convergence of fixed-point iterations, a common approach utilised in solving nonlinear equations. By blending current and ...

This is a preview. Log in through your library . Abstract Let (X; d) be a metric space, f, fn : X → X, with F f = F f n , n ∈ ℕ. For the fixed point equation (1) x = f(x) we consider the following ...

Newton's method is actually a special case of what is generally known as a fixed point method. These methods rely on the Fixed point Theorem: ...