- - - Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran
- - - Department of Mathematics, Faculty of Science, Imam Khomeini International University, Postal code ۳۴۱۴۹-۱۶۸۱۸, Qazvin, Iran
- - - Department of Mathematics, King Abdulaziz University, P.O. Box ۸۰۲۰۳, Jeddah ۲۱۵۸۹, Saudi Arabia

In this paper, we present some fixed and coincidence point theorems for hybrid rational Geraghty contractive mappings in partially ordered b-metric spaces. Also, we derive certain coincidence point results for such contractions. An illustrative example is provided here to highlight our findings.

Fixed point, Coincidence point, ordered b-metric space