Bulletin of the
Korean Mathematical Society BKMS

The iterative algorithms with errors for nonexpansive mappings are investigated in Banach spaces. Strong convergence theorems for these algorithms are obtained. Our results improve the corresponding results in [5, 13--15, 23, 27--29, 32] as well as those in [1, 16, 19, 26] in framework of a Hilbert space.

Keywords: iterative algorithm, nonexpansive mapping, fixed point, sunny and nonexpansive retraction, uniformly convex, uniformly G\^ateaux differentiable norm

MSC numbers: 47J25, 47H09, 47H10, 49M05