Approximating fixed point for left amenable semigroup of non-expansive mappings

In this paper, using δ- strongly monotone and λ- strictly pseudo-contractive mapping F on a real Hilbert space H, we introduce an implicit iterative scheme for proving strong convergence theorem to approximating fixed points of amenable semigroup of non-expansive mappings, with respect to a sequence of left regular means dened on an appropriate space of bounded real valued functions on semigroup.