Fixed points for multivalued Suzuki type (θ,R)-contraction mapping with applications

dc.contributor.authorAbbas, Mujahid
dc.contributor.authorIqbal, Hira
dc.contributor.authorPetrusel, Adrian
dc.date.accessioned2019-09-03T10:44:52Z
dc.date.available2019-09-03T10:44:52Z
dc.date.issued2019-02-17
dc.description.abstractIn this paper, we will introduce the concept of Suzuki type multivalued (θ,R)-contraction and we will prove some fixed point results in the setting of a metric space equipped with a binary relation. Our results generalize and extend various comparable results in the existing literature. Examples are provided to support the results proved here. As an application of our results, we obtain a homotopy result, proving the existence of a solution for a second-order differential equation and for a first-order fractional differential equation.en_ZA
dc.description.departmentMathematics and Applied Mathematicsen_ZA
dc.description.librarianam2019en_ZA
dc.description.urihttps://www.hindawi.com/journals/jfsen_ZA
dc.identifier.citationAbbas, M., Iqbal, H. & Petrusel, A. 2019, 'Fixed points for multivalued Suzuki type (θ,R)-contraction mapping with applications', Journal of Function Spaces, vol. 2019, no. ID 9565804, pp. 1-13.en_ZA
dc.identifier.issn2314-8896 (print)
dc.identifier.issn2314-8888 (online)
dc.identifier.other10.1155/2019/9565804
dc.identifier.urihttp://hdl.handle.net/2263/71264
dc.language.isoenen_ZA
dc.publisherHindawi Publishingen_ZA
dc.rights© 2019 Mujahid Abbas et al. This is an open access article distributed under the Creative Commons Attribution License.en_ZA
dc.subjectBinary relationen_ZA
dc.subjectHomotopy resulten_ZA
dc.subjectDifferential equationen_ZA
dc.subjectSuzuki type multivalued (θ,R)-contractionen_ZA
dc.titleFixed points for multivalued Suzuki type (θ,R)-contraction mapping with applicationsen_ZA
dc.typeArticleen_ZA

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