Generalized Interpolative Contractions and an Application
In this study, we introduce a property (P) and the generalized interpolative contractions of types I, II, III, and IV. We investigate certain conditions for the existence of fixed points of generalized interpolative contractions. We derive several new results from the main theorems. As an applicatio...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/6461477 |
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| _version_ | 1832566438011863040 |
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| author | Muhammad Nazam Hassen Aydi Aftab Hussain |
| author_facet | Muhammad Nazam Hassen Aydi Aftab Hussain |
| author_sort | Muhammad Nazam |
| collection | DOAJ |
| description | In this study, we introduce a property (P) and the generalized interpolative contractions of types I, II, III, and IV. We investigate certain conditions for the existence of fixed points of generalized interpolative contractions. We derive several new results from the main theorems. As an application, we resolve the Urysohn integral equation. |
| format | Article |
| id | doaj-art-c665ad6588334959babf0f2b5eb1a81b |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-c665ad6588334959babf0f2b5eb1a81b2025-02-03T01:04:09ZengWileyJournal of Mathematics2314-47852021-01-01202110.1155/2021/6461477Generalized Interpolative Contractions and an ApplicationMuhammad Nazam0Hassen Aydi1Aftab Hussain2Department of MathematicsUniversité de SousseDepartment of MathematicsIn this study, we introduce a property (P) and the generalized interpolative contractions of types I, II, III, and IV. We investigate certain conditions for the existence of fixed points of generalized interpolative contractions. We derive several new results from the main theorems. As an application, we resolve the Urysohn integral equation.http://dx.doi.org/10.1155/2021/6461477 |
| spellingShingle | Muhammad Nazam Hassen Aydi Aftab Hussain Generalized Interpolative Contractions and an Application Journal of Mathematics |
| title | Generalized Interpolative Contractions and an Application |
| title_full | Generalized Interpolative Contractions and an Application |
| title_fullStr | Generalized Interpolative Contractions and an Application |
| title_full_unstemmed | Generalized Interpolative Contractions and an Application |
| title_short | Generalized Interpolative Contractions and an Application |
| title_sort | generalized interpolative contractions and an application |
| url | http://dx.doi.org/10.1155/2021/6461477 |
| work_keys_str_mv | AT muhammadnazam generalizedinterpolativecontractionsandanapplication AT hassenaydi generalizedinterpolativecontractionsandanapplication AT aftabhussain generalizedinterpolativecontractionsandanapplication |