Existence of Best Proximity Point with an Application to Nonlinear Integral Equations
Using the idea of modified ϱ-proximal admissible mappings, we derive some new best proximity point results for ϱ−ϑ-contraction mappings in metric spaces. We also provide some illustrations to back up our work. As a result of our findings, several fixed-point results for such mappings are also found....
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/3886659 |
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| _version_ | 1832546045943349248 |
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| author | Shagun Sharma Sumit Chandok |
| author_facet | Shagun Sharma Sumit Chandok |
| author_sort | Shagun Sharma |
| collection | DOAJ |
| description | Using the idea of modified ϱ-proximal admissible mappings, we derive some new best proximity point results for ϱ−ϑ-contraction mappings in metric spaces. We also provide some illustrations to back up our work. As a result of our findings, several fixed-point results for such mappings are also found. We obtain the existence of a solution for nonlinear integral equations as an application. |
| format | Article |
| id | doaj-art-2b24ec4afb704a69b57b643d3312bd57 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-2b24ec4afb704a69b57b643d3312bd572025-02-03T07:23:54ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/38866593886659Existence of Best Proximity Point with an Application to Nonlinear Integral EquationsShagun Sharma0Sumit Chandok1School of Mathematics, Thapar Institute of Engineering and Technology, Patiala 147004, IndiaSchool of Mathematics, Thapar Institute of Engineering and Technology, Patiala 147004, IndiaUsing the idea of modified ϱ-proximal admissible mappings, we derive some new best proximity point results for ϱ−ϑ-contraction mappings in metric spaces. We also provide some illustrations to back up our work. As a result of our findings, several fixed-point results for such mappings are also found. We obtain the existence of a solution for nonlinear integral equations as an application.http://dx.doi.org/10.1155/2021/3886659 |
| spellingShingle | Shagun Sharma Sumit Chandok Existence of Best Proximity Point with an Application to Nonlinear Integral Equations Journal of Mathematics |
| title | Existence of Best Proximity Point with an Application to Nonlinear Integral Equations |
| title_full | Existence of Best Proximity Point with an Application to Nonlinear Integral Equations |
| title_fullStr | Existence of Best Proximity Point with an Application to Nonlinear Integral Equations |
| title_full_unstemmed | Existence of Best Proximity Point with an Application to Nonlinear Integral Equations |
| title_short | Existence of Best Proximity Point with an Application to Nonlinear Integral Equations |
| title_sort | existence of best proximity point with an application to nonlinear integral equations |
| url | http://dx.doi.org/10.1155/2021/3886659 |
| work_keys_str_mv | AT shagunsharma existenceofbestproximitypointwithanapplicationtononlinearintegralequations AT sumitchandok existenceofbestproximitypointwithanapplicationtononlinearintegralequations |