Volume 14, Number 6, 2024, Pages - DOI:10.11948/JAAC-2024-0056 |
RELATIONAL GERAGHTY CONTRACTIONS WITH AN APPLICATION TO A SINGULAR FRACTIONAL BOUNDARY VALUE PROBLEM |
Saud Aldosary,Izhar Uddin,Samad Mujahid |
Keywords:fixed points binary relations fractional differential equations positive solution. |
Abstract: |
In this article, we present some results on fixed points employing relational Geraghty contractions in the setting of metric space endued with a class of transitive binary relations. Our results complement, sharpen and improve several fixed point results of literature. By means of our findings, we discuss an existence and uniqueness theorem regarding the positive solutions of certain boundary value problems associated with a singular fractional differential equations. |
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