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

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

Access to Document

10.1186/s13663-025-00792-7

Cite this

@article{21d6e67a60e24b8cb7961510cf96f5c7,

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

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.",

keywords = "Integral-type contraction, Orthogonal metric spaces, Riemann–Liouville fractional integral, S-metric spaces",

author = "Samuel, \{Benitha Wises\} and Gunaseelan Mani and Ramulu, \{Shoba Sree\} and Thabet, \{Sabri T.M.\} and Imed Kedim",

note = "Publisher Copyright: {\textcopyright} The Author(s) 2025.",

year = "2025",

month = dec,

doi = "10.1186/s13663-025-00792-7",

language = "English",

volume = "2025",

journal = "Fixed Point Theory and Algorithms for Sciences and Engineering",

issn = "1687-1820",

publisher = "SpringerOpen",

number = "1",

}

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 - http://www.scopus.com/inward/record.url?scp=105005445585&partnerID=8YFLogxK

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

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this