F-contractions fixed point results in extended rectangular b-metric space

نویسندگان
Patel, Mittal K. ID 1
Sharma, Jaita ID 2
Deheri, Gunamani M. ID 3

1 Department of Applied Mathematics, Faculty of Technology & Engineering, The M. S. University of Baroda, Vadodara - 390 001, India

2 Department of Applied Mathematics, Faculty of Technology & Engineering, The M. S. University of Baroda, Vadodara - 390 001, India

3 Department of Mathematics, Sardar Patel University, Vallabh Vidyanagar -388 120, India

doi
10.22075/ijnaa.2021.22864.2423
چکیده

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.

کلیدواژه‌ها
Extended rectangular b-metric space, F-contraction, Orbitally continuous, Common fixed point, Fixed point