Iterative algorithms with errors for nonexpansive mappings in Banach spaces
Bull. Korean Math. Soc. 2006 Vol. 43, No. 4, 771-790 Printed December 1, 2006
Jong Soo Jung Dong-A University
Abstract : 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