Document Type : Research Paper
The Maharaj Sayajirao University of Baroda,near badamadi baug, kalabhavan
Department of Applied Mathematics, Faculty of Technology and Engineering, The M. S. University of Baroda
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.