Hardy–Rogers-type α −ℱ⊥− contraction mapping on O− complete metric space

Gunaseelan M., Arul Joseph G., Mahendra Singh Y., TAŞ K., Khan M.

Asian-European Journal of Mathematics, 2025 (ESCI, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1142/s1793557125501207
  • Dergi Adı: Asian-European Journal of Mathematics
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH
  • Anahtar Kelimeler: fixed point, orthogonal complete metric space, orthogonal continuous, orthogonal preserving, Orthogonal set, α− admissible, ℱ− contraction
  • Uşak Üniversitesi Adresli: Evet

Özet

The aim of this study is to introduce a new α −ℱ⊥− contraction mapping of the Hardy–Rogers type. We investigate the existence of a fixed point for such mappings in orthogonal complete metric spaces and prove some consequences. The results of the paper generalize and expand a number of recent publications of the last decade in the literature. As an application, we establish the existence of a solution of nonlinear Fredholm integral equation.