Kannan-Type Contractions on New Extended b-Metric Spaces
This article is focused on the generalization of some fixed point theorems with Kannan-type contractions in the setting of new extended b-metric spaces. An idea of asymptotic regularity has been incorporated to achieve the new results. As an application, the existence of a solution of the Fredholm-t...
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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 Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/7613684 |
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| _version_ | 1850175490271215616 |
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| author | Hassen Aydi Muhammad Aslam Dur-e-Shehwar Sagheer Samina Batul Rashid Ali Eskandar Ameer |
| author_facet | Hassen Aydi Muhammad Aslam Dur-e-Shehwar Sagheer Samina Batul Rashid Ali Eskandar Ameer |
| author_sort | Hassen Aydi |
| collection | DOAJ |
| description | This article is focused on the generalization of some fixed point theorems with Kannan-type contractions in the setting of new extended b-metric spaces. An idea of asymptotic regularity has been incorporated to achieve the new results. As an application, the existence of a solution of the Fredholm-type integral equation is presented. |
| format | Article |
| id | doaj-art-ce5fbaf5fbf64262a79ae93ae6e51ae4 |
| institution | OA Journals |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-ce5fbaf5fbf64262a79ae93ae6e51ae42025-08-20T02:19:27ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/76136847613684Kannan-Type Contractions on New Extended b-Metric SpacesHassen Aydi0Muhammad Aslam1Dur-e-Shehwar Sagheer2Samina Batul3Rashid Ali4Eskandar Ameer5Université de Sousse, Institut Supérieur d’Informatique et des Techniques de Communication, H. Sousse 4000, TunisiaDepartment of Mathematics, College of Sciences, King Khalid University, Abha 61413, Saudi ArabiaDepartment of Mathematics, Capital University of Science and Technology, Islamabad, PakistanDepartment of Mathematics, Capital University of Science and Technology, Islamabad, PakistanDepartment of Mathematics, Capital University of Science and Technology, Islamabad, PakistanDepartment of Mathematics, Taiz University, Taiz 6803, YemenThis article is focused on the generalization of some fixed point theorems with Kannan-type contractions in the setting of new extended b-metric spaces. An idea of asymptotic regularity has been incorporated to achieve the new results. As an application, the existence of a solution of the Fredholm-type integral equation is presented.http://dx.doi.org/10.1155/2021/7613684 |
| spellingShingle | Hassen Aydi Muhammad Aslam Dur-e-Shehwar Sagheer Samina Batul Rashid Ali Eskandar Ameer Kannan-Type Contractions on New Extended b-Metric Spaces Journal of Function Spaces |
| title | Kannan-Type Contractions on New Extended b-Metric Spaces |
| title_full | Kannan-Type Contractions on New Extended b-Metric Spaces |
| title_fullStr | Kannan-Type Contractions on New Extended b-Metric Spaces |
| title_full_unstemmed | Kannan-Type Contractions on New Extended b-Metric Spaces |
| title_short | Kannan-Type Contractions on New Extended b-Metric Spaces |
| title_sort | kannan type contractions on new extended b metric spaces |
| url | http://dx.doi.org/10.1155/2021/7613684 |
| work_keys_str_mv | AT hassenaydi kannantypecontractionsonnewextendedbmetricspaces AT muhammadaslam kannantypecontractionsonnewextendedbmetricspaces AT dureshehwarsagheer kannantypecontractionsonnewextendedbmetricspaces AT saminabatul kannantypecontractionsonnewextendedbmetricspaces AT rashidali kannantypecontractionsonnewextendedbmetricspaces AT eskandarameer kannantypecontractionsonnewextendedbmetricspaces |