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RSMAMS SEAJMAMS South East Asian Journal of Mathematics and Mathematical Sciences
Home Volume 21, Issue 2 Article
Research Article

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

J
J. Balamurugan Department of Mathematics, Faculty of Engineering and Technology, SRM Institute of Science and Technology, Vadapalani Campus, Chennai - 600026, Tamil
C
C. Rajesh Department of Mathematics, Faculty of Engineering and Technology, SRM Institute of Science and Technology, Vadapalani Campus, Chennai - 600026, Tamil
Volume 21, Issue 2 Pages 271-286 August 30, 2025 1 downloads
Article overview

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 pointGeraghty contraction$b-$metric spaces$b-$Cauchy sequenceIntegral equations.

AMS Subject Classification

47H10, 54H25.

Reference information

How to Cite

J. Balamurugan, C. Rajesh (2025). SOLUTION OF INTEGRAL EQUATION VIA COMMON FIXED POINT RESULTS FOR ($\psi$, $\beta$)-GERAGHTY CONTRACTION TYPE MAPPING IN $b-$METRIC SPACES. South East Asian Journal of Mathematics and Mathematical Sciences, 21(2), 271-286.
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