SOLUTION OF INTEGRAL EQUATION VIA COMMON FIXED POINT RESULTS FOR ($\psi$, $\beta$)-GERAGHTY CONTRACTION TYPE MAPPING IN $b-$METRIC SPACES

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads :

Volume : 21 , Issue : 2
DOI: https://doi.org/10.56827/SEAJMMS.2025.2102.19
Author :
J. Balamurugan (Department of Mathematics, Faculty of Engineering and Technology, SRM Institute of Science and Technology, Vadapalani Campus, Chennai - 600026, Tamil )
C. Rajesh (Department of Mathematics, Faculty of Engineering and Technology, SRM Institute of Science and Technology, Vadapalani Campus, Chennai - 600026, Tamil )

Abstract

The scope of this paper encompasses novel and extended results regarding a few common fixed points in complete $b-$metric spaces, with a particular focus on $(\psi,\beta)-$ Geraghty type contractive mapping. The study looks at real-world uses, discussing common fixed point results linked to integral type contractions and checking if solutions to integral equations exist.

Keywords and Phrases

Common fixed point, Geraghty contraction, $b-$metric spaces, $b-$Cauchy sequence, Integral equations.

A.M.S. subject classification

47H10, 54H25.

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