Characterization of a b-metric space completeness via the existence of a fixed point of Ciric-Suzuki type quasi-contractive multivalued operators and applications
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| dc.contributor.author | Alolaiyan, Hanan
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| dc.contributor.author | Ali, Basit
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| dc.contributor.author | Abbas, Mujahid
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| dc.date.accessioned | 2020-07-11T08:30:28Z | |
| dc.date.available | 2020-07-11T08:30:28Z | |
| dc.date.issued | 2019 | |
| dc.description.abstract | The aim of this paper is to introduce Ciric-Suzuki type quasi-contractive multivalued operators and to obtain the existence of fixed points of such mappings in the framework of b-metric spaces. Some examples are presented to support the results proved herein. We establish a characterization of strong b-metric and b-metric spaces completeness. An asymptotic estimate of a Hausdorff distance between the fixed point sets of two Ciric-Suzuki type quasi-contractive multivalued operators is obtained. As an application of our results, existence and uniqueness of multivalued fractals in the framework of b-metric spaces is proved. | en_ZA |
| dc.description.department | Mathematics and Applied Mathematics | en_ZA |
| dc.description.librarian | am2020 | en_ZA |
| dc.description.sponsorship | The authors extend their appreciation to the International Scienti c partnership program (ISPP) at King Saud University for funding this research work through ISPP#0034. | en_ZA |
| dc.description.sponsorship | The International Scienti c partnership program (ISPP) at King Saud University. | en_ZA |
| dc.description.uri | http://www.anstuocmath.ro | en_ZA |
| dc.identifier.citation | Alolaiyan, H., Ali, B. & Abbas, M. 2019, 'Characterization of a b-metric space completeness via the existence of a fixed point of Ciric-Suzuki type quasi-contractive multivalued operators and applications', Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, vol. 27, no. 1, pp. 5-33. | en_ZA |
| dc.identifier.issn | 1224-1784 (print) | |
| dc.identifier.issn | 1844-0835 (online) | |
| dc.identifier.other | 10.2478/auom-2019-0001 | |
| dc.identifier.uri | http://hdl.handle.net/2263/75148 | |
| dc.language.iso | en | en_ZA |
| dc.publisher | Ovidius University, Constanta | en_ZA |
| dc.rights | Ovidius University, Constanta | en_ZA |
| dc.subject | Multivalued mapping | en_ZA |
| dc.subject | Fixed point | en_ZA |
| dc.subject | Stability | en_ZA |
| dc.subject | Multivalued fractals | en_ZA |
| dc.subject | b-Metric spaces | en_ZA |
| dc.title | Characterization of a b-metric space completeness via the existence of a fixed point of Ciric-Suzuki type quasi-contractive multivalued operators and applications | en_ZA |
| dc.type | Article | en_ZA |
