Convergence of path for a family of strict pseudo-contractions in Hilbert spaces

Abstract

In this paper, we propose an implicit viscosity approximation method for finding a common fixed points of infinite countable families of strict pseudo-contractions in the framework of Hilbert spaces. The results presented in this paper improve and extend the corresponding results announced by Mainge (J. Math. Anal. Appl. 325:469–479, 2007) and some others.