The Ran-Reurings fixed point theorem without partial order: a simple proof

DOI10.1007/s11784-015-0218-3zbMath1317.54014arXiv1411.4698OpenAlexW3103623156MaRDI QIDQ2348791

Hichem Ben-El-Mechaiekh

Publication date: 15 June 2015

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.4698

zbMATH Keywords

contractiontransitive relationlocal contractionexistence and uniqueness of a fixed pointmonotonic chainabilitymonotoniccomplete metric

Mathematics Subject Classification ID

Complete metric spaces (54E50) Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Fixed-point and coincidence theorems (topological aspects) (54H25)

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Cites Work

• Caristi fixed point theorem in metric spaces with a graph
• Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations
• An Extension of Banach's Contraction Principle
• Local Contractions in Metric Spaces
• 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
• Unnamed Item
• Unnamed Item

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