Abstract: Let K be a
nonempty closed convex subset of a real reflexive Banach space X
that has weakly sequentially continuous duality mapping. In this paper, we
consider the viscosity approximation sequence where is a weakly contractive mapping, is a uniformly asymptotically
regular sequence of quasi-nonexpansive mappings such that and Suppose that satisfies condition (A). Then it is
proved that converges strongly to a common fixed
point p of a family Our results extend and improve the
existing known results in this area.
