Viscosity Approximation Methods in Reflexive Banach Spaces
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
In this paper, we study viscosity approximation methods in re exive Banach spaces. Let X
be a re exive Banach space which admits a weakly sequentially continuous duality mapping 
a nonempty closed convex subset of X, hn, where 
a sequence of contractions
on C and Tn , 
for 
a nite family of commuting nonexpansive mappings
on C. We show that under appropriate conditions on 
the explicit iterative sequence 
dened
by
where 
converges strongly to a common xed point 
We consequently show
that the results is true for an innite family 
of commuting nonexpansive
mapping on C
Keywords: Viscosity approximation methods, reflexive banach spaces, nonexpansive mappings, weakly sequentially continuous duality mapping, sequence of contractions, common fixed points, ommuting nonexpansive mappings