Cone monotone mappings: continuity and differentiability

Simple item page
dc.creatorDuda, Jakub
dc.date2005-10-31
dc.date2005-12-14
dc.date.accessioned2026-07-07T06:48:10Z
dc.date.available2026-07-07T06:48:10Z
dc.descriptionWe generalize some results of Borwein, Burke, Lewis, and Wang to mappings with values in metric (resp. ordered normed linear) spaces. We define two classes of monotone mappings between an ordered linear space and a metric space (resp. ordered linear space): $K$-monotone dominated and cone-to-cone monotone mappings. First we show some relationships between these classes. Then, we study continuity and differentiability (also in the metric and $w^*$ senses) of mappings in these classes.
dc.description13 pages; updated version
dc.identifierhttps://arxiv.org/abs/math/0510678
dc.identifierhttp://arxiv.org/abs/math/0510678
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103894
dc.subjectFunctional Analysis
dc.subject46T20; 26B25
dc.titleCone monotone mappings: continuity and differentiability
dc.typetext

Files

Collections

arXiv