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 inFixed 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
LanguageEnglish
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
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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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:2730-5422
DOI:10.1186/s13663-025-00792-7