Abstract: | Let E be a uniformly smooth Banach space, K be a nonempty closed convex subset of E, and suppose: T:K K is a continuous -strongly pseudocontractive operator with a bounded range. Using a new analytical method, under general cases, the Ishikawa iterative process {x
n
} converges strongly to the unique fixed point x
*
of the operator T were proved. The paper generalizes and extends a lot of recent corresponding results. |