For , let
be a
-uniformly smooth real Banach space with dual space
. Let
be a Lipschitz and strongly monotone mapping such that
. For given
, let
be generated iteratively by the algorithm :
where is the normalized duality mapping from
into
and
is a positive real number choosen in a suitable interval. Then it is proved that the sequence
converges strongly to
, the unique point of
. Our theorems are applied to the convex minimization problem. Futhermore, our technique of proof is of independent interest.