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Fixed points of generalized \(\alpha\)-Meir-Keeler contraction mappings in \(S_b\)-metric spaces - MaRDI portal

Fixed points of generalized \(\alpha\)-Meir-Keeler contraction mappings in \(S_b\)-metric spaces (Q2236416)

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Fixed points of generalized \(\alpha\)-Meir-Keeler contraction mappings in \(S_b\)-metric spaces
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    Fixed points of generalized \(\alpha\)-Meir-Keeler contraction mappings in \(S_b\)-metric spaces (English)
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    22 October 2021
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    Summary: In this note, we define Meir-Keeler contraction in \(S_b\)-metric spaces. Further, by adding the concept of \(\alpha\)-admissible mappings, we define generalized \(\alpha_s\)-Meir-Keeler contraction and used it for examining the existence and uniqueness of fixed points. Various results are also given as a consequence of our results.
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    generalised \(\alpha\)-Meir-Keeler contraction mapping
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    \(S_b\)-metric space
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    \(\alpha\)-admissible mapping
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    fixed points
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    existence
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    uniqueness
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