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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Vydané v:	Fixed point theory and algorithms for sciences and engineering Ročník 2025; číslo 1; s. 10
Hlavní autori:	Samuel, Benitha Wises, Mani, Gunaseelan, Ramulu, Shoba Sree, Thabet, Sabri T. M., Kedim, Imed
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Cham Springer International Publishing 01.12.2025 Springer Nature B.V
Predmet:	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
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Abstract	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.
AbstractList	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. 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.
Author	Thabet, Sabri T. M. Mani, Gunaseelan Ramulu, Shoba Sree Samuel, Benitha Wises Kedim, Imed
Author_xml	– sequence: 1 givenname: Benitha Wises surname: Samuel fullname: Samuel, Benitha Wises organization: Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Saveetha University – sequence: 2 givenname: Gunaseelan surname: Mani fullname: Mani, Gunaseelan organization: Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Saveetha University – sequence: 3 givenname: Shoba Sree surname: Ramulu fullname: Ramulu, Shoba Sree organization: Department of Mathematics, S.A. Engineering College – sequence: 4 givenname: Sabri T. M. surname: Thabet fullname: Thabet, Sabri T. M. email: th.sabri@yahoo.com organization: Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Saveetha University, Department of Mathematics, Radfan University College, University of Lahej, Department of Mathematics, College of Science, Korea University – sequence: 5 givenname: Imed surname: Kedim fullname: Kedim, Imed organization: Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University
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Snippet	In this article, we present common fixed-point theorems for contractions of integral type within the framework of orthogonal S -metric spaces. Examples are... In this article, we present common fixed-point theorems for contractions of integral type within the framework of orthogonal S-metric spaces. Examples are...
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SubjectTerms	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
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Title	Integral-type contraction on orthogonal S-metric spaces with common fixed-point results and applications to fractional integral equations
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