Abstract:

Let C be a closed convex subset of real q-uniformly smooth Banach space, and T_i: C→C(i=1,2,…,N) be a finite family of strict pseudocontractive mappings such that . It is shown via viscosity approximation methods that under some suitable conditions, the modification of the Mann iteration sequence converges strongly to a common fixed point of T₁,T₂,…,T_N.

Key words: strict pseudocontractive mapping, q-uniformly smooth, viscosity approximation, common fixed point