Ran-Reurings fixed point theorem is an immediate consequence of the Banach contraction principle

DOI10.22436/JNSA.009.03.16zbMath1355.54056OpenAlexW2783250422MaRDI QIDQ3457897

Bessem Samet

Publication date: 7 December 2015

Published in: Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: http://www.tjnsa.com/includes/files/articles/Vol9_Iss3_873--875_Ran-Reurings_fixed_point_theorem_is.pdf

zbMATH Keywords

Banach fixed point theoremmetric spaces with partial orderRan-Reuring fixed point theorem

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) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Special maps on metric spaces (54E40)

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