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

M. C. Arya; N. Chandra; Mahesh C.  Joshi

doi:10.4995/agt.2023.18320

Authors

M. C. Arya B. S. R. Govt. Degree College, Rikhanikhal, India https://orcid.org/0000-0002-5649-1385
N. Chandra H. N. B. Garhwal University, India https://orcid.org/0000-0003-0501-3401
Mahesh C. Joshi Kumaun University, India

DOI:

https://doi.org/10.4995/agt.2023.18320

Keywords:

Fixed point, common fixed point, ( ψ, φ )-contraction

Abstract

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.

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Author Biographies

M. C. Arya, B. S. R. Govt. Degree College, Rikhanikhal, India

Department of Mathematics

N. Chandra, H. N. B. Garhwal University, India

Department of Mathematic

Mahesh C. Joshi, Kumaun University, India

D. S. B. Campus

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