New Fixed Point Theorems in Orthogonal F-Metric Spaces with Application to Fractional Differential Equation

Tanzeela Kanwal, Azhar Hussain, Hamid Baghani, Manuel de la Sen
2020 Symmetry  
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.
doi:10.3390/sym12050832 fatcat:d7r37w3tbbar3mtn7ybkga2j3m