TY - JOUR
T1 - On Fixed Points in Complex Valued Controlled S-Metric Spaces and an Application
AU - Qawaqneh, Haitham
AU - Chamoli, Divyanshu
AU - Rawat, Shivam
AU - Aydi, Hassen
AU - Bisht, Monika
N1 - Publisher Copyright:
© 2025 The Author(s). (CC BY-NC 4.0).
PY - 2025/8/1
Y1 - 2025/8/1
N2 - In this paper, we present complex valued controlled S-metric spaces, a new generalisation of controlled S-metric spaces. This generalization is also a new extension of the notion of a complex valued Sb-metric space, which differs from the complex valued extended Sb-metric space. Moreover, in this newly generalized notion, we derive certain fixed point results along with an example. Many results from the existing literature are also derived as corollaries of our main results. As an application of our result, we demonstrate the existence of a solution of a Volterra integral equation.
AB - In this paper, we present complex valued controlled S-metric spaces, a new generalisation of controlled S-metric spaces. This generalization is also a new extension of the notion of a complex valued Sb-metric space, which differs from the complex valued extended Sb-metric space. Moreover, in this newly generalized notion, we derive certain fixed point results along with an example. Many results from the existing literature are also derived as corollaries of our main results. As an application of our result, we demonstrate the existence of a solution of a Volterra integral equation.
KW - Complex valued controlled S-metric spaces
KW - Fixed point
KW - Volterra integral equation
UR - https://www.scopus.com/pages/publications/105019949873
U2 - 10.29020/nybg.ejpam.v18i3.6659
DO - 10.29020/nybg.ejpam.v18i3.6659
M3 - Article
AN - SCOPUS:105019949873
SN - 1307-5543
VL - 18
JO - European Journal of Pure and Applied Mathematics
JF - European Journal of Pure and Applied Mathematics
IS - 3
M1 - 6659
ER -