Suzuki, Tomonari Strong convergence theorems for infinite families of nonexpansive mappings in general Banach spaces. (English) Zbl 1123.47308 Fixed Point Theory Appl. 2005, No. 1, 103-123 (2005). 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. Cited in 2 ReviewsCited in 138 Documents 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 PDF BibTeX XML Cite \textit{T. Suzuki}, Fixed Point Theory Appl. 2005, No. 1, 103--123 (2005; Zbl 1123.47308) Full Text: DOI EuDML