Contraction mapping principle in weakly metric spaces (Q2719488)

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scientific article; zbMATH DE number 1609726
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Contraction mapping principle in weakly metric spaces
scientific article; zbMATH DE number 1609726

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    25 June 2001
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    weakly metric space
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    contracted mappings principle
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    Contraction mapping principle in weakly metric spaces (English)
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    The set \(M\) on which the nonnegative function \(\rho(x,y)\) is given, such that it satisfies the identity and symmetry axioms, is called the weakly metric space and the function \(\rho\) is called the weak metric. The author discusses the contraction mapping principle in weakly metric spaces. The author establishes the estimates of convergence velocity of successive approximations.
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