Convergence of an inertial-type Krasnosel’skii-Mann-type iterative sequence to fixed points of nonexpansive mappings in Hilbert spaces

Abstract

Let H be a real Hilbert space and C a nonempty closed convex subset of H. Let T: C→C be a nonexpansive self mapping. We introduce a new inertial-type iterative sequence which converges to a fixed point of T. Our results are new and complement several important existing results in the literature.