English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

By using the metric projection onto a closed self-dual cone of the Euclideanspace, M. S. Gowda, R. Sznajder and J. Tao have defined generalized latticeoperations, which in the particular case of the nonnegative orthant of aCartesian reference system reduce to the lattice operations of thecoordinate-wise ordering. The aim of the present note is twofold: to give ageometric characterization of the closed convex sets which are invariant withrespect to these operations, and to relate this invariance property to theisotonicity of the metric projection onto these sets. As concrete examples theLorentz cone and the nonnegative orthant are considered. Old and recent resultson closed convex Euclidean sublattices due to D. M. Topkis, A. F. Veinott andto M. Queyranne and F. Tardella, respectively are obtained as particular cases.The topic is related to variational inequalities where the isotonicity of themetric projection is an important technical tool. For Euclidean sublatticesthis approach was considered by G. Isac, H. Nishimura and E. A. Ok.

Self-dual cones, generalized lattice operations and isotone projections