A note on fixed point theorems for rational Geraghty contractive mappings in ordered b b -metric spaces

摘要

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.