Journal of Mathematical Sciences: Advances and ApplicationsAuthor's: Jamnian Nantadilok
Pages: [315] - [327]
Received Date: November 13, 2009
Submitted by:
Let K be a nonempty closed convex subset of a real reflexive
Banach spaces E that has weakly continuous duality mapping
for some guage 
Let 
be a finite family of generalized
asymptotically quasi-nonexpansive mappings with 
which is a sunny nonexpansive retract of
K with Q, a nonexpansive retraction. For 
let 
be generated by the algorithm 
where 
is a contraction mapping, and let 
be a sequence satisfying certain conditions.
Suppose that satisfies condition (A). Then, it is proved
that converges strongly to a common fixed point
of a finite family 
Moreover, 
is the unique solution in F to a
certain variational inequaliy.
generalized asymptotically quasi-nonexpansive mappings, weakly continuous duality mappings.
