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 φ-strongly pseudocontractive operator with a bounded range. Using a new analytical method, under general cases, the Ishikawa iterative process { xn } converges strongly to the unique fixed point x * of the operator Twere proved. The paper generalizes and extends a lot of recent corresponding results.
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