TY - JOUR
T1 - Solving an Integral Equation via Tricomplex-Valued Controlled Metric Spaces
AU - Ramaswamy, Rajagopalan
AU - Mani, Gunaseelan
AU - Gnanaprakasam, Arul Joseph
AU - Abdelnaby, Ola A.Ashour
AU - Radenović, Stojan
N1 - Publisher Copyright:
© 2023 by the authors.
PY - 2023/1
Y1 - 2023/1
N2 - In this present study, we propose the concept of tricomplex-controlled metric spaces as a generalization of both controlled metric-type spaces and tricomplex metric-type spaces. In this work, we establish fixed point results using Banach, Kannan and Fisher-type contractions supported with nontrivial examples in the setting of the proposed space. We apply the derived result to find the analytical solution of an integral equation using the fixed point technique under the same metric.
AB - In this present study, we propose the concept of tricomplex-controlled metric spaces as a generalization of both controlled metric-type spaces and tricomplex metric-type spaces. In this work, we establish fixed point results using Banach, Kannan and Fisher-type contractions supported with nontrivial examples in the setting of the proposed space. We apply the derived result to find the analytical solution of an integral equation using the fixed point technique under the same metric.
KW - controlled metric-type spaces
KW - fixed point
KW - integral equation
KW - tricomplex-valued controlled metric spaces
UR - http://www.scopus.com/inward/record.url?scp=85146819000&partnerID=8YFLogxK
U2 - 10.3390/axioms12010056
DO - 10.3390/axioms12010056
M3 - Article
AN - SCOPUS:85146819000
SN - 2075-1680
VL - 12
JO - Axioms
JF - Axioms
IS - 1
M1 - 56
ER -