MMN-3013

# Variants of R-weakly commuting mappings satisfying a weak contraction

• Deepak Jain, Department of Mathematics, Deenbandhu Chhotu Ram University of Science and Technology, Murthal, Sonepat 131039, Haryana, India, deepakjain.jain6@gmail.com
• Sanjay Kumar, Department of Mathematics, Deenbandhu Chhotu Ram University of Science and Technology, Murthal, Sonepat 131039, Haryana, India, sanjaymudgal2004@yahoo.com
• Choonkil Park, Hanyang University, Department of Department, Research Institute for Natural Sciences, Seoul 04763, Korea, baak@hanyang.ac.kr

## Abstract

In this paper, first we prove a common fixed point theorem for pairs of weakly compatible mappings satisfying a generalized $\phi$-weak contraction condition that involves cubic terms of metric functions. Secondly, we prove some results using different variants of $R$-weakly commuting mappings. At the end, we give an application in support of our results.

Vol. 22 (2021), No. 1, pp. 259-271
DOI: 10.18514/MMN.2021.3013