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Zbl 1123.47308
Suzuki, Tomonari
Strong convergence theorems for infinite families of nonexpansive mappings in general Banach spaces. (English)
[J] Fixed Point Theory Appl. 2005, No. 1, 103-123 (2005). ISSN 1687-1812/e

Summary: In 1979, Ishikawa proved a strong convergence theorem for finite families of nonexpansive mappings in general Banach spaces. Motivated by Ishikawa's result, we prove strong convergence theorems for infinite families of nonexpansive mappings.
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)

Cited in: Zbl 1221.54065 Zbl 1147.47055

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