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Weak and strong convergence theorems of a Mann-type iterative algorithm for \(k\)-strict pseudo-contractions. (English) Zbl 1217.47113
Summary: We consider a Mann-type iterative algorithm for nonself strict pseudo-contractions. Weak and strong convergence theorems are established in the framework of Hilbert spaces. The results presented in this paper improve and extend the results announced by many others.

MSC:
47J25 Iterative procedures involving nonlinear operators
47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.
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