RFPTA Recent Articles
Volume 2019

# Common fixed points for $R$-weakly commuting mappings satisfying a weak contraction-by Deepak Jain, Sanjay Kumar and B. E. Rhoades

Abstract: In this paper, we prove some common fixed point theorems for pairs of point wise $R$-weakly commuting mappings in metric spaces satisfying a generalized $\phi$-weak contraction condition that involves cubic terms of metric function $d(x,y)$. At the end, we provide an example in support of our result.
Keywords: $\phi$-weak contraction, weakly commuting mappings, $R$-weakly commuting mappings, $R$-weakly commuting mappings of type (P).