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A discussion on a generalized Geraghty multi-valued mappings and applications

Hojjat Afshari, Maryam Atapour, Erdal Karapınar

2020Advances in Difference Equations22 citationsDOIOpen Access PDF

Abstract

Abstract This research intends to investigate the existence results for both coincidence points and common fixed point of generalized Geraghty multi-valued mappings endowed with a directed graph. The proven results are supported by an example. We also consider fractional integral equations as an application.

Topics & Concepts

MathematicsCoincidence pointCoincidenceOrdinary differential equationGraphPartial differential equationApplied mathematicsDiscrete mathematicsFixed-point theoremDifferential equationMathematical analysisAlternative medicineMedicinePathologyFixed Point Theorems AnalysisNonlinear Differential Equations AnalysisFractional Differential Equations Solutions
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