Viscosity Approximation Methods in Reflexive Banach Spaces

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 QQ.PNG a nonempty closed convex subset of X, hn, where 111.PNG a sequence of contractions
on C and Tn , TT.PNG for YY.PNG a nite family of commuting nonexpansive mappings
on C. We show that under appropriate conditions on OO.PNG the explicit iterative sequence XXX.PNG dened
by where XXX2.PNG converges strongly to a common xed point OOO.PNG We consequently show
that the results is true for an innite family UUU.PNG of commuting nonexpansive
mapping on C