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

Benitha Wises Samuel; Gunaseelan Mani; Shoba Sree Ramulu; Sabri T.M. Thabet; Imed Kedim

doi:10.1186/s13663-025-00792-7

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

Benitha Wises Samuel
, Gunaseelan Mani
, Shoba Sree Ramulu
, Sabri T.M. Thabet
, Imed Kedim

Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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.

Original language	English
Article number	10
Journal	Fixed Point Theory and Algorithms for Sciences and Engineering
Volume	2025
Issue number	1
DOIs	https://doi.org/10.1186/s13663-025-00792-7
State	Published - Dec 2025

Keywords

Integral-type contraction
Orthogonal metric spaces
Riemann–Liouville fractional integral
S-metric spaces

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10.1186/s13663-025-00792-7

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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.",

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Integral-type contraction on orthogonal S-metric spaces with common fixed-point results and applications to fractional integral equations. / Samuel, Benitha Wises; Mani, Gunaseelan; Ramulu, Shoba Sree et al.
In: Fixed Point Theory and Algorithms for Sciences and Engineering, Vol. 2025, No. 1, 10, 12.2025.

Research output: Contribution to journal › Article › peer-review

TY - JOUR

T1 - Integral-type contraction on orthogonal S-metric spaces with common fixed-point results and applications to fractional integral equations

AU - Samuel, Benitha Wises

AU - Mani, Gunaseelan

AU - Ramulu, Shoba Sree

AU - Thabet, Sabri T.M.

AU - Kedim, Imed

N1 - Publisher Copyright: © The Author(s) 2025.

PY - 2025/12

Y1 - 2025/12

N2 - 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.

AB - 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.

KW - Integral-type contraction

KW - Orthogonal metric spaces

KW - Riemann–Liouville fractional integral

KW - S-metric spaces

UR - https://www.scopus.com/pages/publications/105005445585

U2 - 10.1186/s13663-025-00792-7

DO - 10.1186/s13663-025-00792-7

M3 - Article

AN - SCOPUS:105005445585

SN - 1687-1820

VL - 2025

JO - Fixed Point Theory and Algorithms for Sciences and Engineering

JF - Fixed Point Theory and Algorithms for Sciences and Engineering

IS - 1

M1 - 10

ER -

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

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Keywords

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