Rate of convergence under weak contractiveness conditions (Q2871095)

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scientific article; zbMATH DE number 6248832
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English
Rate of convergence under weak contractiveness conditions
scientific article; zbMATH DE number 6248832

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    22 January 2014
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    Cauchy rate
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    weakly Zamfirescu maps
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    weakly contractive maps
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    quasi-contraction maps
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    modulus of uniqueness
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    rate of convergence
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    fixed points
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    Rate of convergence under weak contractiveness conditions (English)
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    The authors introduce a class of self-mappings of a metric space extending various classes weakly contractive mappings. They give an explicite Cauchy rate for the Picard iterations and show that all Picard iterations converge to the unique fixed point of the mapping.
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