Moudafi's viscosity approximations with Meir--Keeler contractions (Q854053)

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scientific article; zbMATH DE number 5078930
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Moudafi's viscosity approximations with Meir--Keeler contractions
scientific article; zbMATH DE number 5078930

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    Moudafi's viscosity approximations with Meir--Keeler contractions (English)
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    7 December 2006
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    The author discusses Moudafi's viscosity approximations with Meir--Keeler contractions. First, he presents very simple proofs of Xu's theorems concerning Moudafi's approximations. Next, he proves that Browder's and Halpern's type convergence theorems imply Moudafi's viscosity approximations. With these foregoing results, he states several new theorems.
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    nonexpansive mapping
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    fixed point
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    Browder's and Halpern's type strong convergence theorems
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    Moudafi's viscosity approximation
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    Meir-Keeler contraction
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