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Zbl 1111.47058
Maingé, Paul-Emile
Approximation methods for common fixed points of nonexpansive mappings in Hilbert spaces. (English)
[J] J. Math. Anal. Appl. 325, No. 1, 469-479 (2007). ISSN 0022-247X

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.
[Edward Prempeh (Kumasi)]

MSC 2000:: *47J25 Methods for solving nonlinear operator equations (general)
47H09 Mappings defined by "shrinking" properties
47H10 Fixed point theorems for nonlinear operators on topol.linear spaces
65J15 Equations with nonlinear operators (numerical methods)

Keywords: viscosity method; nonexpansive mapping; common fixed point; convex optimization; strong convergence; nearest point projection; Hilbert space

Cited in: Zbl 1238.47045 Zbl 1222.47108

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