Liu, Zeqing; Feng, Chi; Ume, Jeong Sheok; Kang, Shin Min Weak and strong convergence for common fixed points of a pair of nonexpansive and asymptotically nonexpansive mappings. (English) Zbl 1151.47060 Taiwanese J. Math. 11, No. 1, 27-42 (2007). Some weak and strong convergence theorems for a modified Ishikawa iteration with errors to a common fixed point of a pair of nonexpansive and, respectively, asymptotically nonexpansive mappings in uniformly convex Banach spaces are given. These theorems generalize, improve and unify several related results in literature. Reviewer: Vasile Berinde (Baia Mare) Cited in 11 Documents MSC: 47J25 Iterative procedures involving nonlinear operators 47H10 Fixed-point theorems 47H05 Monotone operators and generalizations Keywords:uniformly convex Banach space; nonexpansive mapping; asymptotically nonexpansive mapping; common fixed point; modified Ishikawa iteration with errors; convergence theorem; weak convergence PDFBibTeX XMLCite \textit{Z. Liu} et al., Taiwanese J. Math. 11, No. 1, 27--42 (2007; Zbl 1151.47060) Full Text: DOI