Nonlinear Functional Analysis and Applications

Kyungnam University, Department of Mathematics Eduaction (경남대학교 수학교육과)
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FIXED POINT THEOREMS FOR A PAIR OF (α, η, ψ)-GERAGHTY CONTRACTION TYPE MAPS IN COMPLETE METRIC SPACES

  • P. Sudheer Kumar (Department of Mathematics, Aditya Institute of Technology and Management) ;
  • G. V. V. Jagannadha Rao (Department of Mathematics, Kalinga University) ;
  • R. Santhi Kumar (Department of Mathematics, Aditya Institute of Technology and Management) ;
  • P. E. Satyanarayana (Department of Mathematics, Aditya Institute of Technology and Management)
  • Received : 2023.05.06
  • Accepted : 2023.06.13
  • Published : 2024.03.15
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Abstract

In this paper, we prove the existence of common fixed point for a pair of α-η-ψ-Geraghty contraction type maps in complete metric spaces using new type of α-admissible. These results extend and generalize some of the previously known results.

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References

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