Izoton vetítések és alkalmazásaik

Translated title of the contribution: Isotone projections and their applications

AB Nemeth, Sandor Nemeth

Research output: Contribution to journalArticlepeer-review

Abstract

A self-mapping of a vector space is called isotone if it retains its order. For example, the positive part mapping of a vector lattice, or the projections onto specific cones of a Hilbert space are isotone. Besides of the practical applications of these mappings and their generalisations, the related theoretical investigations, which can be the source of further practical applications, are also important. The present article is dedicated to summarise these two important aspects in the case when the mapping is the metric projection.
Translated title of the contributionIsotone projections and their applications
Original languageHungarian
Pages (from-to)1-11
Number of pages11
JournalAlkalmazott Matematikai Lapok
Volume39
Issue number2
Publication statusPublished - 6 Jul 2022

Keywords

  • metric projections
  • cones
  • simplicial cones
  • isotone mappings

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