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Fixed point results for various \(\alpha\)-admissible contractive mappings on metric-like spaces - MaRDI portal

Fixed point results for various \(\alpha\)-admissible contractive mappings on metric-like spaces (Q1723967)

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scientific article; zbMATH DE number 7022262
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Fixed point results for various \(\alpha\)-admissible contractive mappings on metric-like spaces
scientific article; zbMATH DE number 7022262

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    Fixed point results for various \(\alpha\)-admissible contractive mappings on metric-like spaces (English)
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    14 February 2019
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    Summary: We establish some fixed point theorems for \(\alpha\)-admissible mappings in the context of metric-like space via various auxiliary functions. In particular, we prove the existence of a fixed point of the generalized Meir-Keeler type \(\alpha- \phi\)-contractive self-mapping \(f\) defined on a metric-like space \(X\). The given results generalize, improve, and unify several fixed point theorems for the generalized cyclic contractive mappings that have appeared recently in the literature.
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