Some Fixed Point Results for Hybrid Contraction in Metric Spaces and Ulam-Hyers Stability

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Abstract

In the present manuscript, we introduce a new notion of (β, ϕ)− admissible hybrid contractions in metric spaces and establish fixed point results in the setting of these spaces. The derived results extend the reported findings of the past. The derived result is supplemented with a non-trivial example. We have also analyzed the Ulam-Hyers stability and well-poisedness as an application to the derived results.

Original languageEnglish
Article number6243
JournalEuropean Journal of Pure and Applied Mathematics
Volume18
Issue number3
DOIs
StatePublished - Jul 2025

Keywords

  • (β,ϕ)−admissible hybrid contraction
  • Ulam-Hyers stability
  • fixed point
  • metric space

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