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Ulam-Hyers stability and well-posedness of fixed point problems for \(\alpha\)-\(\lambda\)-contraction mapping in metric spaces - MaRDI portal

Ulam-Hyers stability and well-posedness of fixed point problems for \(\alpha\)-\(\lambda\)-contraction mapping in metric spaces (Q1723721)

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scientific article; zbMATH DE number 7022057
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Ulam-Hyers stability and well-posedness of fixed point problems for \(\alpha\)-\(\lambda\)-contraction mapping in metric spaces
scientific article; zbMATH DE number 7022057

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    Ulam-Hyers stability and well-posedness of fixed point problems for \(\alpha\)-\(\lambda\)-contraction mapping in metric spaces (English)
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    14 February 2019
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    Summary: We study Ulam-Hyers stability and the well-posedness of the fixed point problem for new type of generalized contraction mapping, so called \(\alpha\)-\(\lambda\)-contraction mapping. The results in this paper generalize and unify several results in the literature such as the Banach contraction principle.
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    Ulam-Hyers stability
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    fixed point
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    generalized contraction
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    \(\alpha\)-\(\lambda\)-contraction mapping
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