SOME FIXED POINT THEOREMS FOR GENERALIZED $\alpha$-GERAGHTY CONTRACTION TYPE MAPPINGS IN $B$-METRIC~SPACES AND SOME APPLICATIONS TO THE NONLINEAR INTEGRAL EQUATION

DOI10.22190/FUMI1702231HzbMath1488.54157OpenAlexW2614498771MaRDI QIDQ4987496

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Publication date: 3 May 2021

Published in: Facta Universitatis, Series: Mathematics and Informatics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22190/fumi1702231h

zbMATH Keywords

fixed point\(b\)-metric spacegeneralized \(\alpha \)-Geraghty contraction type

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Related Items (1)

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Cites Work

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• A best proximity point theorem for Geraghty-contractions
• Fixed points of (\({\psi,\phi,\theta}\))-contractive mappings in partially ordered b-metric spaces and application to quadratic integral equations
• Multivalued fractals in \(b\)-metric spaces
• Stone-type theorem on \(b\)-metric spaces and applications
• Various generalizations of metric spaces and fixed point theorems
• Common fixed point of generalized weak contractive mappings in partially ordered b-metric spaces
• A fixed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations
• Generalized contractions with triangular \(\alpha\)-orbital admissible mapping on Branciari metric spaces

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