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

• Arya, M. C. ^[1] ; Chandra, N. ^[2] ; Joshi, Mahesh C.
  1. [1] B. S. R. Govt. Degree College, Rikhanikhal, India
  2. [2] H. N. B. Garhwal University, India
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 24, Nº. 1, 2023, págs. 129-144
• Idioma: inglés
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• Resumen

  • 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.