Abstract: Let
Cbe a
closed convex subset of a Hilbert space H.
Let f
be a
contraction on C.
Let Sbe a
nonexpansive mapping of Cinto
itself and Abe
an a-inverse-strongly
monotone mapping of Cinto
H.
Assuming that and
in
this paper we introduce the iterative process
where
We prove that and
converge
strongly to the same point As its application, we give a strong convergence theorem for
nonexpansive mapping and strictly pseudo-contractive mapping in a Hilbert space.
