Geodesic
A note on fixed point theorems for rational Geraghty contractive mappings in ordered $b$-metric spaces
Kragujevac Journal of Mathematics, Tome 39 (2015) no. 2, p. 183 .

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In this short note we prove the existence of fixed points for non-decreasing mappings in ordered extit{b}-metric spaces. Our results improve the recent results, established by F. Zabihi and A. Razani [Fixed point theorems for hybrid rational Geraghty contractive mappings in ordered $b$-metric spaces, Journal of Applied Mathematics, Volume 2014, Article ID 929821, 9 pages], with much more general conditions and shorter proofs. An example is given to show the superiority of our generalization.
Classification : 47H10 54H25
Keywords: Fixed point, Partially ordered set, $b$-metric space, $b$-Cauchy sequence 
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Zoran Kadelburg; Stojan Radenović; Miloje Rajović. A note on fixed point theorems for rational Geraghty contractive mappings in ordered $b$-metric spaces. Kragujevac Journal of Mathematics, Tome 39 (2015) no. 2, p. 183 . http://geodesic.mathdoc.fr/item/KJM_2015_39_2_a6/