title: Perov multivalued contraction pair in rectangular cone metric spaces
metadata.name: dc.contributor.author
metadata.value: Abbas, Mujahid
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Rakočević, Vladimir
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Noor, Zahra
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2021-10-07T12:31:55Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2021-10-07T12:31:55Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2021-09
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Abbas M., Rakočević V., Noor Z. Perov multivalued contraction pair in rectangular cone metric spaces. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2021, vol. 8 (66), issue 3, pp. 484–501.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2021.310
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/33264
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: Perov studied the Banach contraction principle in the framework of a generalized metric
  space and presented Perov contraction condition where the contractive constant is replaced
  by a matrix with nonnegative entries and spectral radius less than 1. Azam et al. presented
  the notion of rectangular cone metric space following the idea of Branciari, Huang
  and Zhang by replacing the triangular inequality in the cone metric space by rectangular
  inequality. Motivated by the work of Abbas and Vetro and Radenovi´c, the purpose of
  this paper is to introduce a new class of Perov type multivalued mappings and present a
  common fixed point result for such mappings on a complete rectangular cone metric space.
  Furthermore, an example is also presented to demonstrate the validity of our results. Our
  results extend, unify and generalize various comparable results in the existing literature.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: en
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 3
metadata.lang: -
metadata.name: dc.subject
metadata.value: fixed point
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: cone metric space
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: rectangular metric space
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Perov multivalued contraction pair in rectangular cone metric spaces
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 484-501.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/33264/1/484-501.pdf
resources.format: Adobe PDF
resources.size: 365,45 kB