Strong Convergence Of A Modified Picard Process To A Commom Fixed Point Of A Finite Family Of Lipschitzian Hemicontractive Maps

Abstract

Let K be a closed convex nonempty subset of a Hilbert space Hand let the set of the common fixed points of a finite family of Lipschitzian hemicontractive maps from K into itself be non empty. Sufficient conditions for the strong convergence of the sequence of successive approximations generated by a Picard-like process to a common fixed point of the family are proved.