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, vol.12, no.5, 2020 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 12 Issue: 5
  • Publication Date: 2020
  • Doi Number: 10.3390/sym12050832
  • Journal Name: Symmetry
  • Journal Indexes: 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
  • Keywords: Banach fixed point theorem, F-metric space, Orthogonal set
  • Uşak University Affiliated: No

Abstract

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.