TY - JOUR
T1 - An Application of Urysohn Integral Equation via Complex Partial Metric Space
AU - Ramaswamy, Rajagopalan
AU - Mani, Gunaseelan
AU - Gnanaprakasam, Arul Joseph
AU - Ashour Abdelnaby, Ola A.
AU - Radenović, Stojan
N1 - Publisher Copyright:
© 2022 by the authors. Licensee MDPI, Basel, Switzerland.
PY - 2022/6/1
Y1 - 2022/6/1
N2 - Metric fixed point theory has vast applications in various domain areas, as it helps in finding analytical solutions under various contractive conditions, including non-linear integral-type contractions. In our present work, we have established fixed point results in the setting of complex valued partial metric space. Our results extend the results proven in literature. Using our main result, we have provided an application to find the solution to the Urysohn-type integral equation.
AB - Metric fixed point theory has vast applications in various domain areas, as it helps in finding analytical solutions under various contractive conditions, including non-linear integral-type contractions. In our present work, we have established fixed point results in the setting of complex valued partial metric space. Our results extend the results proven in literature. Using our main result, we have provided an application to find the solution to the Urysohn-type integral equation.
KW - common fixed points
KW - complex partial metric space
KW - Urysohn integral equations
UR - http://www.scopus.com/inward/record.url?scp=85132307656&partnerID=8YFLogxK
U2 - 10.3390/math10122019
DO - 10.3390/math10122019
M3 - Article
AN - SCOPUS:85132307656
SN - 2227-7390
VL - 10
JO - Mathematics
JF - Mathematics
IS - 12
M1 - 2019
ER -