title: Fixed point theorems for new contractions with application in dynamic programming
metadata.name: dc.contributor.author
metadata.value: Touail, Youssef
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: El Moutawakil, Driss
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2021-07-16T16:11:53Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2021-07-16T16:11:53Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2021-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Touail Y., El Moutawakil D. Fixed point theorems for new contractions with application in dynamic programming. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2021, vol. 8 (66), issue 2, pp. 338–348.
metadata.lang: en_GB
metadata.name: dc.identifier.issn
metadata.value: https://doi.org/10.21638/spbu01.2021.213
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/29888
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: In this study, we give a generalization of the well-known Reich fixed point in the setting
  of general topological spaces with τ -distances. As applications of the obtained result, we
  prove some fixed point theorems for new contraction types in metric spaces. Moreover, we
  establish the existence and the uniqueness of solutions for a class of functional equations
  arising in dynamic programming.
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 8 (66); Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: fixed point
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: strict contraction
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: generalized E-weakly contractive maps
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: metric spaces
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Hausdorff topological spaces
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: dynamic programming
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Fixed point theorems for new contractions with application in dynamic programming
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 338-348.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/29888/1/338-348.pdf
resources.format: Adobe PDF
resources.size: 302,96 kB