Viscosity Approximation Methods in Reflexive Banach Spaces with a Sequence of Contractions

The aim of this paper is to study viscosity approximation methods in re exive Banach spaces. Let
E be a re exive Banach space which admits a weakly sequentially continuous duality mapping 771.PNG a nonempty closed convex subset of II.PNG a sequence of contractions on C and Tn, n = 1, 2, 3, · · ·N a nite family of nonexpansive mappings on C. We show that under
appropriate conditions on κ the implicit iterative sequence τ dened by where κ ∈ (0, 1) converges strongly to a common xed point HHH.PNG . We further show that
the results hold for an innite family IIII.PNG of nonexpansive mappings.