TY - JOUR
T1 - Certain Applications of Fixed Point Results in the Setting of Tricomplex Partial Metric Space
AU - Ramaswamy, Rajagopalan
AU - Mani, Gunaseelan
N1 - Publisher Copyright:
Copyright © 2025 Rajagopalan Ramaswamy and Gunaseelan Mani. Journal of Applied Mathematics published by John Wiley & Sons Ltd.
PY - 2025
Y1 - 2025
N2 - In this paper, we introduce the notion of tricomplex partial metric space as an extension/generalization of the partial metric spaces and prove some common fixed point theorems. Our results extend and generalize some well-known results. We have also presented nontrivial examples to the derived results. We also explore the applicability of the results to establish the existence of a unique common solution to the system of nonlinear Fredholm integral equations and fractional differential equations.
AB - In this paper, we introduce the notion of tricomplex partial metric space as an extension/generalization of the partial metric spaces and prove some common fixed point theorems. Our results extend and generalize some well-known results. We have also presented nontrivial examples to the derived results. We also explore the applicability of the results to establish the existence of a unique common solution to the system of nonlinear Fredholm integral equations and fractional differential equations.
KW - bi-complex partial metric space (bi-CPMS)
KW - common fixed point theorem (CFPT)
KW - complex partial metric space (CPMS)
KW - integral equations
KW - tri-complex partial metric space
UR - https://www.scopus.com/pages/publications/105016095435
U2 - 10.1155/jama/2299796
DO - 10.1155/jama/2299796
M3 - Article
AN - SCOPUS:105016095435
SN - 1110-757X
VL - 2025
JO - Journal of Applied Mathematics
JF - Journal of Applied Mathematics
IS - 1
M1 - 2299796
ER -