NEW ITERATION METHODS FOR
PSEUDOCONTRACTIVE AND
ACCRETIVE
OPERATORS IN ARBITRARY BANACH SPACES
Olusegun O.Owojori and Christopher O. Imoru
Department of Mathematics, Obafemi Awolowo University
Ile-Ife, Nigeria
(Received April 23, 2003)
Abstract.1. In
[1] Owojori and Imoru [10] introduced a three-step iteration
procedure and
established some
convergence results. 2. In this work, a more
acceptable revised three-step iteration scheme is introduced as a
generalization of the Ishikawa and Mann iteration schemes with
errors given by Liu [11] and Xu [16]. Some new fixed point
results are then established which improve the results of Owojori
and Imoru [13] and are generalizations
of the
results of Ishikawa(1974), Chidume [1, 2, 3, 4], Liu [11], Xu
[16], and Chidume and Osilike [5, 6] on fixed points (solutions)
of pseudocontractive operators (accretive operator equations) in
arbitrary Banach spaces