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
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.
Topics & Concepts
MathematicsUniquenessFixed-point theoremFixed pointContraction mappingMetric spacePure mathematicsMathematical analysisDifferential equationContraction (grammar)Nonlinear systemPhysicsInternal medicineMedicineQuantum mechanicsFixed Point Theorems Analysis