New Fixed Point Results in Orthogonal B-Metric Spaces with Related Applications
Arul Joseph Gnanaprakasam, Gunaseelan Mani, Özgür Ege, Ahmad Aloqaily, Nabil Mlaiki
Abstract
In this article, we present the concept of orthogonal α-almost Istra˘tescu contraction of types D and D* and prove some fixed point theorems on orthogonal b-metric spaces. We also provide an illustrative example to support our theorems. As an application, we establish the existence and uniqueness of the solution of the fractional differential equation and the solution of the integral equation using Elzaki transform.
Topics & Concepts
UniquenessMathematicsFixed-point theoremMetric spaceFixed pointContraction (grammar)Pure mathematicsContraction mappingMathematical analysisDiscrete mathematicsMedicineInternal medicineFixed Point Theorems Analysis