F-contractions Fixed point results in Extended Rectangular b-metric space

Document Type : Research Paper


1 The Maharaj Sayajirao University of Baroda,near badamadi baug, kalabhavan

2 Department of Applied Mathematics, Faculty of Technology and Engineering, The M. S. University of Baroda

3 Sardar Patel University, Vallabh Vidyanagar, Anand



In the present paper, we prove common fixed point theorem for F-contraction by considering one map is orbitally continuous map in $\Omega-$Extended rectangular b-metric space. In addition, we find fixed point for Banach and Kannan type contraction inequality without consideration of orbitally continuity. Also at the fixed point maps does not force to be continuous. An examples is also provided for the utility of our results.