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Weak and strong convergence for common fixed points of a pair of nonexpansive and asymptotically nonexpansive mappings. (English) Zbl 1151.47060
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.

MSC:
47J25 Iterative procedures involving nonlinear operators
47H10 Fixed-point theorems
47H05 Monotone operators and generalizations
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