Abstract
Let be a real reflexive Banach space, let
be a closed convex subset of
, and let
be an
-accretive operator with a zero. Consider the iterative method that generates the sequence
by the algorithm
where
and
are two sequences satisfying certain conditions,
denotes the resolvent
for
, and let
be a fixed contractive mapping. The strong convergence of the algorithm
is proved assuming that
has a weakly continuous duality map.