\(\perp_{\psi F}\)-contractions and some fixed point results on generalized orthogonal sets

DOI10.1007/s12215-020-00569-4OpenAlexW3093534822MaRDI QIDQ2243657

Driss El Moutawakil, Youssef Touail

Publication date: 11 November 2021

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-020-00569-4

zbMATH Keywords

fixed pointdifferential equation\(\perp_{\psi F}\)-contractionsgeneralized orthogonal setorbitally generalized orthogonal complete metric space

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25)

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Cites Work

• Orthogonal sets: the axiom of choice and proof of a fixed point theorem
• \({\psi F}\)-contractions: not necessarily nonexpansive Picard operators
• Fixed points of a new type of contractive mappings in complete metric spaces
• A fixed point theorem in partially ordered sets and some applications to matrix equations
• On orthogonal sets and Banach fixed point theorem
• On Gregus-Ćirić mappings on weighted graphs
• The contraction principle for mappings on a metric space with a graph