Strong Convergence Theorem for Strict Pseudo-Contractions in Hilbert Spaces

Abstract

In this paper, inspired by Hussain et al. (Fixed Point Theory Appl. 2015: 17, 2015), we study a modified Mann method to approximate strongly fixed points of strict pseudo-contractive mappings. In (Hussain et al. in Fixed Point Theory Appl. 2015: 17, 2015) it is shown that the same algorithm converges strongly to a fixed point of a nonexpansive mapping under suitable hypotheses on the coefficients. Here the assumptions on the coefficients are different, as well as the techniques of the proof.