Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 14 1 2023 01 01 F-contractions fixed point results in extended rectangular b-metric space 1 10 5623 10.22075/ijnaa.2021.22864.2423 EN Mittal K. Patel Department of Applied Mathematics, Faculty of Technology & Engineering, The M. S. University of Baroda, Vadodara - 390 001, India Jaita Sharma Department of Applied Mathematics, Faculty of Technology & Engineering, The M. S. University of Baroda, Vadodara - 390 001, India Gunamani M. Deheri Department of Mathematics, Sardar Patel University, Vallabh Vidyanagar -388 120, India Journal Article 2021 03 08 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. Extended rectangular b-metric space F-contraction Orbitally continuous Common fixed point Fixed point https://ijnaa.semnan.ac.ir/article_5623_5f44f1cf15d6c5166013de443bef5a75.pdf