Convergence of Picard's iteration using projection algorithm for noncyclic contractions (Q1629140)

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scientific article; zbMATH DE number 6991917
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Convergence of Picard's iteration using projection algorithm for noncyclic contractions
scientific article; zbMATH DE number 6991917

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    Convergence of Picard's iteration using projection algorithm for noncyclic contractions (English)
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    11 December 2018
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    This paper deals with some of the conditions for the convergence of Picard's iteration for non-cyclic contractions using a projection algorithm in uniformly convex Banach spaces. The author also discusses the existence of common best proximity pairs for a couple of non-cyclical mappings. Some examples are given to illustrate the main conclusions.
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    best proximity pair
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    uniformly convex Banach space
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    Picard iteration sequence
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    noncyclic contraction
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