International Journal of Nonlinear Analysis and Applications

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

Document Type : Research Paper

Authors

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

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

Abstract

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.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 14, Issue 1
January 2023
Pages 1-10
  • Receive Date: 08 March 2021
  • Revise Date: 08 July 2021
  • Accept Date: 14 July 2021