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- W2012603065 abstract "Abstract We prove Browder's type strong convergence theorems for infinite families of nonexpansive mappings. One of our main results is the following: let Equation missing<!-- image only, no MathML or LaTex --> be a bounded closed convex subset of a uniformly smooth Banach space Equation missing<!-- image only, no MathML or LaTex -->. Let Equation missing<!-- image only, no MathML or LaTex --> be an infinite family of commuting nonexpansive mappings on Equation missing<!-- image only, no MathML or LaTex -->. Let Equation missing<!-- image only, no MathML or LaTex --> and Equation missing<!-- image only, no MathML or LaTex --> be sequences in Equation missing<!-- image only, no MathML or LaTex --> satisfying Equation missing<!-- image only, no MathML or LaTex --> for Equation missing<!-- image only, no MathML or LaTex -->. Fix Equation missing<!-- image only, no MathML or LaTex --> and define a sequence Equation missing<!-- image only, no MathML or LaTex --> in Equation missing<!-- image only, no MathML or LaTex --> by Equation missing<!-- image only, no MathML or LaTex --> for Equation missing<!-- image only, no MathML or LaTex -->. Then Equation missing<!-- image only, no MathML or LaTex --> converges strongly to Equation missing<!-- image only, no MathML or LaTex -->, where Equation missing<!-- image only, no MathML or LaTex --> is the unique sunny nonexpansive retraction from Equation missing<!-- image only, no MathML or LaTex --> onto Equation missing<!-- image only, no MathML or LaTex -->." @default.
- W2012603065 created "2016-06-24" @default.
- W2012603065 creator A5055028868 @default.
- W2012603065 date "2006-06-01" @default.
- W2012603065 modified "2023-09-23" @default.
- W2012603065 title "Browder's type strong convergence theorems for infinite families of nonexpansive mappings in Banach spaces" @default.
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- W2012603065 doi "https://doi.org/10.1155/fpta/2006/59692" @default.
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