Bulletin of the Korean Mathematical Society ( Vol.43 NO.4 / 2006 ) Title Iterative algorithms with errors for nonexpansive mappings in Banach spaces(ENG) Author Jong Soo Jung MSC 47J25, 47H09, 47H10, 49M05 Publication Page 771-790 Page Abstract 1. Introduction 2. Preliminaries and lemmas 3. Main results 4. Applications to contraction semigroups Own Status Keyword iterative algorithm, nonexpansive mapping, fixed point, sunny and nonexpansive retraction, uniformly convex, uniformly G^ateaux differentiable norm Note Summary 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. Attach [DVI]  [PDF]