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Approximating common fixed points of asymptotically quasi-nonexpansive mappings by a new iterative process. (English) Zbl 1308.47082

Summary: In this paper, we introduce a new iterative process for approximating a common fixed point of asymptotically quasi-nonexpansive mappings in a uniformly convex Banach space. Under some appropriate conditions, strong and weak convergence theorems are established for this iterative process.

MSC:

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