On contraction principles for mappings defined on a metric space with a directed graph

DOI10.1016/j.jmaa.2023.127656zbMath1529.54019OpenAlexW4385740919MaRDI QIDQ6058835

Narongsuk Boonsri, Satit Saejung

Publication date: 1 November 2023

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2023.127656

zbMATH Keywords

fixed pointmetric spaceconnected graphquasi-metric spacePicard operatorHutchinson's theorem

Mathematics Subject Classification ID

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

Cites Work

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• IFS on a metric space with a graph structure and extensions of the Kelisky-Rivlin theorem
• Equivalent results to Banach's contraction principle
• New fixed point results in quasi-metric spaces and applications in fractals theory
• Existence and uniqueness of fixed point in partially ordered sets and applications to ordinary differential equations
• Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations
• Un'osservazione sulle contrazioni metriche
• Ran-Reurings theorems in ordered metric spaces
• On the Convergence of Successive Approximations in the Theory of Ordinary Differential Equations
• A fixed point theorem in partially ordered sets and some applications to matrix equations
• The contraction principle for mappings on a metric space with a graph
• On generalized complete metric spaces

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