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Strong convergence theorem for two commutative asymptotically nonexpansive mappings in Hilbert space. (English) Zbl 1219.47119
Summary: Let $$C$$ be a bounded closed convex subset of a Hilbert space $$H$$ and $$T,S:C\rightarrow C$$ be two asymptotically nonexpansive mappings such that $$ST=TS$$. We establish a strong convergence theorem for $$S$$ and $$T$$ in Hilbert space by a hybrid method. The results generalize and unify many corresponding results.
##### MSC:
 47J25 Iterative procedures involving nonlinear operators 47H09 Contraction-type mappings, nonexpansive mappings, $$A$$-proper mappings, etc.
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##### References:
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