Abstract :
Let q)1, and let E be a real q-uniformly smooth Banach space. Let T: EªE
be a Lipschitz f-strongly accretive operator and suppose the equation Txsf,
fgE, has a solution. It is proved that under suitable conditions on the real
sequences an4`ns0 and bn4`ns0, the iteration process
x0gE
yns 1ybn.xnqbn fq IyT.xn., nG0
xnq1s 1yan.xnqan fq IyT.yn., nG0
converges strongly to the unique solution of the equation Txsf. A related result
deals with the approximation of fixed points of f-hemicontractive operators}a
class of operators which is much more general than the important class of strongly
pseudocontractive operators
