Some Convergence Theorems for the Fixed Point in Banach Spaces

Let X be a uniformly smooth Banach space, T:X → X be Φ-strongly quasi accretive (Φ-hemi contractive) mappings. It is shown under suitable conditions that the Ishikawa iteration sequence converges strongly to the unique solution of the equation Tx = f. Our main results is to improve and extend some results about Ishikawa iteration for type from contractive, announced by many others.