Let E be a

uniformly convex Banach space, C be a nonempty closed convex subset of E, and S:C [right arrow] C be a nonexpansive mapping.

4]) Let E be a

uniformly convex Banach space and C be a nonempty closed bounded convex subset of E.

Let X be a

uniformly convex Banach space and let Q be a nonexpansive mapping of X into X (i.

Let E be a

uniformly convex Banach space, K be a nonempty closed convex subset of E.

T] is also reflexive and

uniformly convex Banach space.

Groetsch [9] generalized the results of [2, 8, 10, 12, 14] in a uniformly convex Banach space by employing (1.

It is our purpose in this paper to establish some convergence results for nonexpansive and quasi-nonexpansive operators in a uniformly convex Banach space via the newly introduced iterative processes defined in (2.

Let E be a convex subset of a uniformly convex Banach space X and [T.

Let Ebea uniformly convex Banach space and let C be a nonempty closed bounded convex subset of E.

Let E be a uniformly convex Banach space and let C be a nonempty closed bounded and convex subset of E.

7) to obtain some convergence results for Mann and Ishikawa iteration processes in a

uniformly convex Banach space, while Berinde [4] extended the results of [32, 33] to an arbitrary Banach space for the same iteration processes.

However, they remarked that their results are true for uniformly smooth and

uniformly convex Banach spaces (see [34], p.