Suppose that X is an arbitrary Banach space and T: X → X is a uniformly continuous Φ-strongly accretive operator. It is proved that, for a given f ∈ X, the Ishikawa iteration method with errors converges strongly to the solutions of the equations f = Tx and f = x + Tx under suitable conditions. Related results deal with the iterative approximation of fixed points of Φ-strongly pseudocontractive operators Our results generalize, improve and unify the corresponding results in [2]-[11], [13]-[16], [19], [20], [23]-[26] and [28].