title: The quasidifferential calculus, separation of convex sets and the Demyanov difference
metadata.name: dc.contributor.author
metadata.value: Grzybowski, Jerzy
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Pallaschke, Diethard
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Urba´nski, Ryszard
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2018-04-05T09:03:10Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2018-04-05T09:03:10Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2018-03
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Grzybowski J., Pallaschke D., Urba´nski R. The quasidifferential calculus, separation of convex sets and the Demyanov difference. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2018, vol. 14, iss. 1, pp. 20–30.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: 10.21638/11701/spbu10.2018.103
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/9323
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: In this paper we give a survey of the influence of the quasidifferential calculus of V. F. Demyanov
  and A. M. Rubinov to the field of generalized convexity. In particular, we will show the
  strong relations between the order cancellation property of bounded closed convex set and
  the separation property of bounded closed convex sets by sets. Moreover, a generalization of
  the Demyanov difference of compact convex sets infinite dimension and its role in the context
  of convex sets by sets is discussed. Refs 15. Figs 2.
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. Applied Mathematics. Computer Science. Control Processes;Volume 14; Issue 1
metadata.lang: -
metadata.name: dc.subject
metadata.value: quasidifferential calculus
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: convex sets
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: subdifferential calculus
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: generaliz convexity
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: The quasidifferential calculus, separation of convex sets and the Demyanov difference
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 03-Grzybowski.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/9323/1/03-Grzybowski.pdf
resources.format: Adobe PDF
resources.size: 318,65 kB