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Convergence theorems for two finite families of some generalized nonexpansive mappings in hyperbolic spaces. (English) Zbl 1412.47064

Summary: We propose and analyze a one-step explicit iterative algorithm for two finite families of mappings satisfying condition (C) in hyperbolic spaces. Our results are new and generalize several recent results in uniformly convex Banach spaces and CAT(0) spaces, simultaneously.

MSC:

47J25 Iterative procedures involving nonlinear operators
47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.
54H25 Fixed-point and coincidence theorems (topological aspects)
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