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 contribution||Isotone projections and their applications|
|Number of pages||11|
|Journal||Alkalmazott Matematikai Lapok|
|Publication status||Published - 6 Jul 2022|
- metric projections
- simplicial cones
- isotone mappings