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Weak and strong convergence for fixed points of asymptotically non-expansive mappings. (English) Zbl 1098.47059

A modified three-step iterative process is investigated for weak and strong convergence of the generated iterative sequence to the fixed points of asymptotically nonexpansive mappings. Some useful preliminary results are first established by the authors, enabling them to obtain weak and strong convergence results which are logically acceptable.

MSC:

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