TY - JOUR
T1 - New fixed point theorems in orthogonal -multiplicative metric spaces and applications to multiplicative and fractional integral equations
AU - Samuel, Benitha Wises
AU - Mani, Gunaseelan
AU - Rajkumar, Siluvai Dasan
AU - Thabet, Sabri T.M.
AU - Kedim, Imed
N1 - Publisher Copyright:
© 2025 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group.
PY - 2025
Y1 - 2025
N2 - This paper explores fixed point theorems in the context of orthogonal (Formula presented.) -multiplicative metric spaces, which extend traditional metric spaces by incorporating both orthogonality and multiplicative structures. To demonstrate the novelty and practical relevance of our main results, we include examples and applications to multiplicative integral equations and Riemann–Liouville fractional integral equations.
AB - This paper explores fixed point theorems in the context of orthogonal (Formula presented.) -multiplicative metric spaces, which extend traditional metric spaces by incorporating both orthogonality and multiplicative structures. To demonstrate the novelty and practical relevance of our main results, we include examples and applications to multiplicative integral equations and Riemann–Liouville fractional integral equations.
KW - Orthogonal metric space
KW - Riemann–Liouville fractional integral
KW - S-metric space
KW - S-multiplicative metric space
UR - http://www.scopus.com/inward/record.url?scp=105009335033&partnerID=8YFLogxK
U2 - 10.1080/27684830.2025.2522507
DO - 10.1080/27684830.2025.2522507
M3 - Article
AN - SCOPUS:105009335033
SN - 2768-4830
VL - 12
JO - Research in Mathematics
JF - Research in Mathematics
IS - 1
M1 - 2522507
ER -