New Generalizations of Set Valued Interpolative Hardy-Rogers Type Contractions in b-Metric Spaces
Debnath and De La Sen introduced the notion of set valued interpolative Hardy-Rogers type contraction mappings on b-metric spaces and proved that on a complete b-metric space, whose all closed and bounded subsets are compact, the set valued interpolative Hardy-Rogers type contraction mapping has a f...
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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 Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/6641342 |
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| _version_ | 1832550831698739200 |
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| author | Muhammad Usman Ali Hassen Aydi Monairah Alansari |
| author_facet | Muhammad Usman Ali Hassen Aydi Monairah Alansari |
| author_sort | Muhammad Usman Ali |
| collection | DOAJ |
| description | Debnath and De La Sen introduced the notion of set valued interpolative Hardy-Rogers type contraction mappings on b-metric spaces and proved that on a complete b-metric space, whose all closed and bounded subsets are compact, the set valued interpolative Hardy-Rogers type contraction mapping has a fixed point. This article presents generalizations of above results by omitting the assumption that all closed and bounded subsets are compact. |
| format | Article |
| id | doaj-art-58d86f07c127445799698d72b483b7bd |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-58d86f07c127445799698d72b483b7bd2025-02-03T06:05:45ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/66413426641342New Generalizations of Set Valued Interpolative Hardy-Rogers Type Contractions in b-Metric SpacesMuhammad Usman Ali0Hassen Aydi1Monairah Alansari2Department of Mathematics, COMSATS University Islamabad, Attock Campus, Attock, PakistanUniversité de Sousse, Institut Supérieur d’Informatique et des Techniques de Communication, H. Sousse 4000, TunisiaDepartment of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDebnath and De La Sen introduced the notion of set valued interpolative Hardy-Rogers type contraction mappings on b-metric spaces and proved that on a complete b-metric space, whose all closed and bounded subsets are compact, the set valued interpolative Hardy-Rogers type contraction mapping has a fixed point. This article presents generalizations of above results by omitting the assumption that all closed and bounded subsets are compact.http://dx.doi.org/10.1155/2021/6641342 |
| spellingShingle | Muhammad Usman Ali Hassen Aydi Monairah Alansari New Generalizations of Set Valued Interpolative Hardy-Rogers Type Contractions in b-Metric Spaces Journal of Function Spaces |
| title | New Generalizations of Set Valued Interpolative Hardy-Rogers Type Contractions in b-Metric Spaces |
| title_full | New Generalizations of Set Valued Interpolative Hardy-Rogers Type Contractions in b-Metric Spaces |
| title_fullStr | New Generalizations of Set Valued Interpolative Hardy-Rogers Type Contractions in b-Metric Spaces |
| title_full_unstemmed | New Generalizations of Set Valued Interpolative Hardy-Rogers Type Contractions in b-Metric Spaces |
| title_short | New Generalizations of Set Valued Interpolative Hardy-Rogers Type Contractions in b-Metric Spaces |
| title_sort | new generalizations of set valued interpolative hardy rogers type contractions in b metric spaces |
| url | http://dx.doi.org/10.1155/2021/6641342 |
| work_keys_str_mv | AT muhammadusmanali newgeneralizationsofsetvaluedinterpolativehardyrogerstypecontractionsinbmetricspaces AT hassenaydi newgeneralizationsofsetvaluedinterpolativehardyrogerstypecontractionsinbmetricspaces AT monairahalansari newgeneralizationsofsetvaluedinterpolativehardyrogerstypecontractionsinbmetricspaces |