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Modified hybrid algorithm for a family of quasi-\(\varphi\)-asymptotically nonexpansive mappings. (English) Zbl 1217.47133

The authors introduce a modified hybrid projection algorithm to establish some strong convergence theorems for a family of quasi-\(\varphi\)-asymptotically nonexpansive mappings. Their results extend and improve some recently announced ones in the literature.

MSC:

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