  The purpose of this paper is to study an implicit scheme for a representation
of nonexpansive mappings on a closed convex subset of a smooth and uniformly
convex Banach space with respect to a left regular sequence of means defined on
an appropriate space of bounded real valued functions of the semigroup.
  This algorithm extends the algorithm that introduced in [N. Hussain, M. L.
Bami and E. Soori, An implicit method for finding a common fixed point of a
representation of nonexpansive mappings in Banach spaces, Fixed Point Theory
and Applications 2014, 2014:238].
