An Application of Urysohn Integral Equation via Complex Partial Metric Space
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 pa...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-06-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/12/2019 |
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| author | Rajagopalan Ramaswamy Gunaseelan Mani Arul Joseph Gnanaprakasam Ola A. Ashour Abdelnaby Stojan Radenović |
| author_facet | Rajagopalan Ramaswamy Gunaseelan Mani Arul Joseph Gnanaprakasam Ola A. Ashour Abdelnaby Stojan Radenović |
| author_sort | Rajagopalan Ramaswamy |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-09T23:08:52Z |
| format | Article |
| id | doaj.art-78ad630d2c214a9aba8efa3c80add101 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T23:08:52Z |
| publishDate | 2022-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-78ad630d2c214a9aba8efa3c80add1012023-11-23T17:48:23ZengMDPI AGMathematics2227-73902022-06-011012201910.3390/math10122019An Application of Urysohn Integral Equation via Complex Partial Metric SpaceRajagopalan Ramaswamy0Gunaseelan Mani1Arul Joseph Gnanaprakasam2Ola A. Ashour Abdelnaby3Stojan Radenović4Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam Bin Abdulaziz University, AlKharj 11942, Saudi ArabiaDepartment of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai 602105, IndiaDepartment of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur 603203, IndiaDepartment of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam Bin Abdulaziz University, AlKharj 11942, Saudi ArabiaFaculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Belgrad, SerbiaMetric 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.https://www.mdpi.com/2227-7390/10/12/2019Urysohn integral equationscommon fixed pointscomplex partial metric space |
| spellingShingle | Rajagopalan Ramaswamy Gunaseelan Mani Arul Joseph Gnanaprakasam Ola A. Ashour Abdelnaby Stojan Radenović An Application of Urysohn Integral Equation via Complex Partial Metric Space Mathematics Urysohn integral equations common fixed points complex partial metric space |
| title | An Application of Urysohn Integral Equation via Complex Partial Metric Space |
| title_full | An Application of Urysohn Integral Equation via Complex Partial Metric Space |
| title_fullStr | An Application of Urysohn Integral Equation via Complex Partial Metric Space |
| title_full_unstemmed | An Application of Urysohn Integral Equation via Complex Partial Metric Space |
| title_short | An Application of Urysohn Integral Equation via Complex Partial Metric Space |
| title_sort | application of urysohn integral equation via complex partial metric space |
| topic | Urysohn integral equations common fixed points complex partial metric space |
| url | https://www.mdpi.com/2227-7390/10/12/2019 |
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