Integral-type contraction on orthogonal S-metric spaces with common fixed-point results and applications to fractional integral equations

In this article, we present common fixed-point theorems for contractions of integral type within the framework of orthogonal S -metric spaces. Examples are provided to illustrate the findings. This work extends and generalizes numerous results from existing literature. Furthermore, the theoretical r...

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Published in:Fixed point theory and algorithms for sciences and engineering Vol. 2025; no. 1; p. 10
Main Authors: Samuel, Benitha Wises, Mani, Gunaseelan, Ramulu, Shoba Sree, Thabet, Sabri T. M., Kedim, Imed
Format: Journal Article
Language:English
Published: Cham Springer International Publishing 01.12.2025
Springer Nature B.V
Subjects:
Algorithms
Analysis
Applications of Mathematics
Applied mathematics
Differential Geometry
Fixed points (mathematics)
Fractional calculus
Integral equations
Linear algebra
Mathematical and Computational Biology
Mathematics
Mathematics and Statistics
Metric Fixed Point Theory and Its Applications
Metric space
Topology
47H10
Integral-type contraction
metric spaces
Orthogonal metric spaces
Riemann–Liouville fractional integral
54H25
ISSN:2730-5422
Online Access:Get full text
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Summary:In this article, we present common fixed-point theorems for contractions of integral type within the framework of orthogonal S -metric spaces. Examples are provided to illustrate the findings. This work extends and generalizes numerous results from existing literature. Furthermore, the theoretical results are reinforced through an application to a fractional integral equation.
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ISSN:2730-5422
DOI:10.1186/s13663-025-00792-7