An Application of Urysohn Integral Equation via Complex Partial Metric Space

Rajagopalan Ramaswamy; Gunaseelan Mani; Arul Joseph Gnanaprakasam; Ola A. Ashour Abdelnaby; Stojan Radenović

doi:10.3390/math10122019

An Application of Urysohn Integral Equation via Complex Partial Metric Space

Rajagopalan Ramaswamy
, Gunaseelan Mani
, Arul Joseph Gnanaprakasam
, Ola A. Ashour Abdelnaby
, Stojan Radenović

Mathematics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

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.

Original language	English
Article number	2019
Journal	Mathematics
Volume	10
Issue number	12
DOIs	https://doi.org/10.3390/math10122019
State	Published - 1 Jun 2022

Keywords

common fixed points
complex partial metric space
Urysohn integral equations

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10.3390/math10122019

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abstract = "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.",

keywords = "common fixed points, complex partial metric space, Urysohn integral equations",

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AU - Ramaswamy, Rajagopalan

AU - Mani, Gunaseelan

AU - Gnanaprakasam, Arul Joseph

AU - Ashour Abdelnaby, Ola A.

AU - Radenović, Stojan

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 - https://www.scopus.com/pages/publications/85132307656

U2 - 10.3390/math10122019

DO - 10.3390/math10122019

M3 - Article

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VL - 10

JO - Mathematics

JF - Mathematics

IS - 12

M1 - 2019

ER -

An Application of Urysohn Integral Equation via Complex Partial Metric Space

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Keywords

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