Fixed point theorems in <i>R</i>-metric spaces with applications
Siamak Khalehoghli, Hamidreza Rahimi, M. Eshaghi Gordji
Abstract
The purpose of this paper is to introduce the notion of <i>R</i>-metric spaces and give a real generalization of Banach fixed point theorem. Also, we give some conditions to construct the Brouwer fixed point. As an application, we find the existence of solution for a fractional integral equation.
Topics & Concepts
Fixed-point theoremMathematicsMetric spaceFixed pointGeneralizationPure mathematicsBanach spaceDiscrete mathematicsMetric (unit)Construct (python library)Mathematical analysisComputer scienceEconomicsOperations managementProgramming languageFixed Point Theorems Analysis