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

نویسندگان
Razani, Abdolrahman ID 1
Ansari, Arsalan ID 2
Hussain, Nawab ID 3

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

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

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

doi
10.22075/ijnaa.2016.453
چکیده

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.

کلیدواژه‌ها
Fixed point, Coincidence point, ordered $b$-metric space