$V$-Limit Analysis of Vector-Valued Mappings

• Date: 2000
• Main Authors: Kogut, P. I., Rudyanova, Т. M., Когут, П. І., Рудянова, Т. М.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2000
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4570
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

For an arbitrary net of mappings defined on subsets of the Hausdorff space (X, τ) and acting into a vector topological space (Y, τ) semiordered by a solid cone Λ, we introduce the notion of V-limit. We investigate topological and sequential properties of V-limit mappings and establish sufficient con...