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.


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