TY - JOUR
T1 - New fixed point theorems in extended orthogonal S-metric spaces of type (µ,σ) with applications to fractional integral equations
AU - Samuel, Benitha Wises
AU - Mani, Gunaseelan
AU - Thabet, Sabri T.M.
AU - Kedim, Imed
AU - Vivas-Cortez, Miguel
N1 - Publisher Copyright:
© 2024, Erdal Karapinar. All rights reserved.
PY - 2024
Y1 - 2024
N2 - In this article, we propose the concept of extended orthogonal S-metric spaces of type (m,s) and explore several related properties and theorems based on this concept. We provide examples to validate our findings. Finally, we illustrate the practical relevance of our results through applications to the fractional integral equations and Fredholm integral equation, highlighting the advantages of our findings.
AB - In this article, we propose the concept of extended orthogonal S-metric spaces of type (m,s) and explore several related properties and theorems based on this concept. We provide examples to validate our findings. Finally, we illustrate the practical relevance of our results through applications to the fractional integral equations and Fredholm integral equation, highlighting the advantages of our findings.
KW - Extended orthogonal S-metric Spaces of type (m,s)
KW - Extended S-metric Space of type (m,s)
KW - orthogonal metric space
KW - S-metric space
UR - http://www.scopus.com/inward/record.url?scp=85211936629&partnerID=8YFLogxK
U2 - 10.31838/rna/2024.07.04.017
DO - 10.31838/rna/2024.07.04.017
M3 - Article
AN - SCOPUS:85211936629
SN - 2636-7556
VL - 7
SP - 146
EP - 162
JO - Results in Nonlinear Analysis
JF - Results in Nonlinear Analysis
IS - 4
ER -