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 ...

In this paper, we propose a modified general inertial Mann algorithm and prove that it generates a sequence which converges weakly to a fixed point of a nonexpansive mapping in Hilbert spaces.

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: ...