Viscosity Approximation Methods in Reflexive Banach Spaces with a Sequence of Contractions
K. Piesie Frimpong *
Department of Mathematics, UENR, Sunyani, Ghana.
E. Prempeh
Department of Mathematics, KNUST, Kumasi, Ghana.
*Author to whom correspondence should be addressed.
Abstract
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 
a nonempty closed convex subset of 
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 
. We further show that
the results hold for an innite family 
of nonexpansive mappings.
Keywords: Viscosity approximation methods, reflexive Banach spaces, nonexpansive mappings, weakly sequentially continuous duality mapping, sequence of contractions, common fixed points, commuting nonexpansive mappings, implicit iteration