Results of coupled iterative fixed point approximation

Abstract

Let X be a Banach space and F a subset of X. In this paper, we showed weak and strong convergence theorems for a Krasnoselskij-type iterative method to approximate coupled solution of nonexpansive operator E: FxF-> F, where F is nonempty, depending on two variables. Furthermore, we obtained a fixed point for a (b, \theta, L)-almost contraction operator E: X +X-> X using the Krasnoselskij iteration {x_n}_n=0^infty.