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Approximation methods for common fixed points of nonexpansive mappings in Hilbert spaces. (English) Zbl 1111.47058

The author studies implicit and explicit viscosity-like methods for finding specific fixed points of infinite countable families of nonexpansive self-mappings in Hilbert spaces. He obtains strong convergence results. His results are of practical interest from the numerical point of view.

MSC:

47J25 Iterative procedures involving nonlinear operators
47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.
47H10 Fixed-point theorems
65J15 Numerical solutions to equations with nonlinear operators
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