title: Fixed point theorem via measure of noncompactness for a new kind of contractions
metadata.name: dc.contributor.author
metadata.value: Touail, Youssef
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Jaid, Amine
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: El Moutawakil, Driss
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2023-05-18T22:02:32Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2023-05-18T22:02:32Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2023-05
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Touail Y., Jaid A., El Moutawakil D. Fixed point theorem via measure of noncompactness for a new kind of contractions. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023, vol. 10 (68), issue 2, pp. 270–276. https://doi.org/10.21638/spbu01.2023.208 (In Russian)
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2023.208
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/41484
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: In this paper, we will use the notion of α-admissible mappings in Banach spaces, to introduce
  the concept of Tβ-contractive mappings and establish a fixed point theorem for this
  type of contractions. Our theorems generalize and improve many results in the literature.
  Moreover, we apply the main result to prove the existence of a solution for Volterra-integral
  equation, under more general assumptions than previously made.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 10; Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: fixed point
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: measure of non-compactness
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: α-admissible
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Tβ-contractive mapping
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: regularity
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Fixed point theorem via measure of noncompactness for a new kind of contractions
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 270-276.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/41484/1/270-276.pdf
resources.format: Adobe PDF
resources.size: 289,16 kB