Some New Results for (α, β)-Admissible Mappings in F-Metric Spaces with Applications to Integral Equations

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Abstract

In this paper, we consider and extend some fixed point results in (Formula presented.) -complete (Formula presented.) -metric spaces by relaxing the symmetry of complete metric spaces. We generalize (Formula presented.) -admissible mappings in the setting of (Formula presented.) -metric spaces. The derived results are supplemented with suitable examples, and the obtained results are applied to find the existence of the solution to the integral equation. The analytical results are compared through numerical simulation. We pose certain open problems for extending and applying our results in the future.

Original languageEnglish
Article number2429
JournalSymmetry
Volume14
Issue number11
DOIs
StatePublished - Nov 2022
Externally publishedYes

Keywords

  • (α, β)-admissible mapping
  • F-complete
  • F-metric space
  • fixed point

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