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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:
47J25Iterative procedures (nonlinear operator equations)
47H09Mappings defined by “shrinking” properties
47H10Fixed point theorems for nonlinear operators on topological linear spaces
65J15Equations with nonlinear operators (numerical methods)