Admissible Hybrid Z-Contractions in Extended b-Metric Spaces
In this paper, we define the notation of admissible hybrid Z-contractions in the setting of extended b-metric spaces, which unifies and generalizes previously existing results in literature. Furthermore, as an application, we discuss Ulam-Hyers stability and well-posedness of a fixed point problem.
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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: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2021/5579577 |
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| _version_ | 1832557056945553408 |
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| author | Quanita Kiran Mamuna Azhar Hassen Aydi Yaé Ulrich Gaba |
| author_facet | Quanita Kiran Mamuna Azhar Hassen Aydi Yaé Ulrich Gaba |
| author_sort | Quanita Kiran |
| collection | DOAJ |
| description | In this paper, we define the notation of admissible hybrid Z-contractions in the setting of extended b-metric spaces, which unifies and generalizes previously existing results in literature. Furthermore, as an application, we discuss Ulam-Hyers stability and well-posedness of a fixed point problem. |
| format | Article |
| id | doaj-art-cf2fa129867b4450aa987136491dea75 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-cf2fa129867b4450aa987136491dea752025-02-03T05:43:48ZengWileyAdvances in Mathematical Physics1687-91201687-91392021-01-01202110.1155/2021/55795775579577Admissible Hybrid Z-Contractions in Extended b-Metric SpacesQuanita Kiran0Mamuna Azhar1Hassen Aydi2Yaé Ulrich Gaba3School of Electrical Engineering and Computer Science (SEECS), National University of Sciences and Technology (NUST), Sector H-12, Islamabad, PakistanSchool of Natural Sciences, National University of Sciences andoTechnology (NUST), Sector H-12, Islamabad, PakistanUniversité de Sousse, Institut Supérieur d’Informatique et des Techniques de Communication, H. Sousse 4000, TunisiaInstitut de Mathématiques et de Sciences Physiques, Porto-Novo, BeninIn this paper, we define the notation of admissible hybrid Z-contractions in the setting of extended b-metric spaces, which unifies and generalizes previously existing results in literature. Furthermore, as an application, we discuss Ulam-Hyers stability and well-posedness of a fixed point problem.http://dx.doi.org/10.1155/2021/5579577 |
| spellingShingle | Quanita Kiran Mamuna Azhar Hassen Aydi Yaé Ulrich Gaba Admissible Hybrid Z-Contractions in Extended b-Metric Spaces Advances in Mathematical Physics |
| title | Admissible Hybrid Z-Contractions in Extended b-Metric Spaces |
| title_full | Admissible Hybrid Z-Contractions in Extended b-Metric Spaces |
| title_fullStr | Admissible Hybrid Z-Contractions in Extended b-Metric Spaces |
| title_full_unstemmed | Admissible Hybrid Z-Contractions in Extended b-Metric Spaces |
| title_short | Admissible Hybrid Z-Contractions in Extended b-Metric Spaces |
| title_sort | admissible hybrid z contractions in extended b metric spaces |
| url | http://dx.doi.org/10.1155/2021/5579577 |
| work_keys_str_mv | AT quanitakiran admissiblehybridzcontractionsinextendedbmetricspaces AT mamunaazhar admissiblehybridzcontractionsinextendedbmetricspaces AT hassenaydi admissiblehybridzcontractionsinextendedbmetricspaces AT yaeulrichgaba admissiblehybridzcontractionsinextendedbmetricspaces |