F(ψ,φ)-contractions for α-admissible mappings on metric spaces and related fixed point results

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  • Hossein Monfared1,
  • Mehdi Asadi2,
  • Mahdi Azhini1,
  1. Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
  2. Department of Mathematics, Zanjan Branch, Islamic Azad University, Zanjan, Iran

Published in Issue 2025-11-09

How to Cite

F(ψ,φ)-contractions for α-admissible mappings on metric spaces and related fixed point results. (2025). Communications in Nonlinear Analysis, 2(1). https://oiccpress.com/cna/article/view/17885

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Abstract

In this paper, we prove the existence and uniqueness of fixed points for certain α-admissible mappings whichare F(ψ,φ)-contractions on metric spaces. Our results generalize and extend some well-known results inthe literature.

Keywords

  • fixed point,
  • C-class function,
  • α-admissible mapping,
  • F(ψ,
  • φ)-contraction
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References

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  2. [2] M. Geraghty, On contractive mappings, Proc. Amer. Math. Soc., 40 (1973), 604–608 .
  3. [3] N. Hussain, E. Karapinar, P. Salimi, F. Akbar, α-admissible mappings and related fixed point theorems, J. Inequal.Appl., 2013 (2013), 11 pages.
  4. [4] H. Lakzian, B. Samet, Fixed points for (ψ,φ)-weakly contractive mapping in generalized metric spaces, Appl.Math. Lett., 25 (2012), 902–906.