Strong Convergence of Modified Mann Iterations for a family of quasi-nonexpansive Mappings

摘要

In this paper, we introduce a modified Mann iterative process, we prove the sequence defined by the iteration scheme converges strongly to a common fixed point of a family of quasi-nonexpansive mappings which solves some variational inequality. Our results improve and extend the results of and H.Zegeye and N.Shahzad, Kim, Xu and some others.