New fixed point theorems in orthogonal f-metric spaces with application to fractional differential equation

Kanwal T., Hussain A., Baghani H., de la Sen M.

Symmetry, cilt.12, sa.5, 2020 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 12 Sayı: 5
  • Basım Tarihi: 2020
  • Doi Numarası: 10.3390/sym12050832
  • Dergi Adı: Symmetry
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Anahtar Kelimeler: Banach fixed point theorem, F-metric space, Orthogonal set
  • Uşak Üniversitesi Adresli: Hayır

Özet

We present the notion of orthogonal F-metric spaces and prove some fixed and periodic point theorems for orthogonal ⊥Ω-contraction. We give a nontrivial example to prove the validity of our result. Finally, as application, we prove the existence and uniqueness of the solution of a nonlinear fractional differential equation.