Turinici, Mihai Ran-Reurings fixed point results in ordered metric spaces. (English) Zbl 1239.54025 Libertas Math. 31, 49-55 (2011). The first purpose of this very interesting paper is to show that the Ran-Reurings fixed point theorem [A. C. M. Ran and M. C. B. Reurings, Proc. Am. Math. Soc. 132, No. 5, 1435–1443 (2004; Zbl 1060.47056)] follows from Maia’s theorem [M. G. Maia, Rend. Sem. Mat. Univ. Padova 40, 139–143 (1968; Zbl 0188.45603)].The second purpose is to give an extension of Maia’s theorem, which also includes some results on this topic (such as [J. J. Nieto, R. Rodriguez-Lopez, Order 22, No. 3, 223–239 (2005; Zbl 1095.47013)]). Reviewer: Adrian Petruşel (Cluj-Napoca) Cited in 22 Documents MSC: 54H25 Fixed-point and coincidence theorems (topological aspects) 54F05 Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces Keywords:fixed point; ordered metric space; contraction mapping; Picard operator; Maia’s theorem Citations:Zbl 1060.47056; Zbl 0188.45603; Zbl 1095.47013 PDFBibTeX XMLCite \textit{M. Turinici}, Libertas Math. 31, 49--55 (2011; Zbl 1239.54025)