Fixed and coincidence points for hybrid rational Geraghty contractive mappings in ordered $b$-metric spaces

Document Type : Research Paper


1 Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran

2 Department of Mathematics, Faculty of Science, Imam Khomeini International University, Postal code 34149-16818, Qazvin, Iran

3 Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, 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.


Volume 8, Issue 1
July 2017
Pages 315-329
  • Receive Date: 05 November 2015
  • Revise Date: 19 March 2016
  • Accept Date: 24 May 2017