... Inequalities in Banach spaces with applications// Nonlinear Anal 1991, V 16, N 12, P 1127-1138 [24] Suzuki T., Strong convergence of approximated sequences for nonexpansive mappings in Banach spaces// ... instead of µ((a1 , a2 , )) We recall that µ is a Banach limit when µ satisfies µ = µk (1) = and µk (ak+1 ) = µk (ak ) for each (a1 , a2 , ) ∈ l∞ For a Banach limit µ, we know that lim inf ak ≤ µk ... C be a convex subset of a Banach space E whose norm is uniformly Gˆteaux differentiable Let {xk } be a bounded subset of E, let z be an element of C a and let µ be a Banach limit Then, µ k xk...