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Convergence theorems for a pair of nonexpansive mappings. (English) Zbl 0916.47042
The iteration schemes of the form \([x_{n+1}=a_nS(b_nTx_n+(1-b_n)x_n)+(1-a_n)x_n ]\) is considered. Weak and strong convergence of iterates is discussed in uniformly convex Banach spaces with Opial’s condition.
Reviewer: S.Tersian (Russe)

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