Applied General Topology (Apr 2023)

Common fixed point results for a generalized ( ψ, φ )-rational contraction

  • M. C. Arya,
  • N. Chandra,
  • Mahesh C. Joshi

DOI
https://doi.org/10.4995/agt.2023.18320
Journal volume & issue
Vol. 24, no. 1
pp. 129 – 144

Abstract

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In this paper, we obtain two common fixed point results for mappings satisfying the generalized (ψ,φ)-contractive type conditions given by a rational expression on a complete metric space. Our results generalize several well known theorems of the literature in the context of (ψ,φ)-rational contraction. In addition, there is an example for obtained results.

Keywords