On upper and lower almost \(\beta\)-continuous multifunctions
type: Item
instance of: scholarly article
title: On upper and lower almost \(\beta\)-continuous multifunctions
zbMATH Open document ID: 0924.54024
DOI: 10.1023/A:1026425319253
published in: Acta Mathematica Hungarica
publication date: 1999-10-31T00:00:00Z
review text: Nasef and Noiri have introduced the notion of almost \(\beta\)-continuity. In the present paper the authors define the notion of upper (lower) almost \(\beta\)-continuous multifunctions. Several interesting characterizations are obtained and many properties of these multifunctions are studied by using for example \(\beta\)-(\(s\)-)closure, the graph multifunction, e.t.c. The authors offer various relationships between upper (lower) almost \(\beta\)-continuous multifunctions and upper (lower) \(\beta\)-continuous (or upper (lower) weakly \(\beta\)-continuous) ones. At the end, some properties of the product multifunction are thoroughly studied.
reviewed by: Chariklia Konstadilaki
Mathematics Subject Classification ID: 54C60
Mathematics Subject Classification ID: 54D20
zbMATH DE Number: 1355007
zbMATH Keywords: \(a\)-(\(\beta\)-)open set
zbMATH Keywords: \(\beta\)-(\(s\)-)closure
zbMATH Keywords: almost \(\beta\)-continuous
zbMATH Keywords: \(\beta\)-continuous
author: T. Noiri
author: Valeriu Popa
MaRDI profile type: Publication
full work available at URL: a:1026425319253
OpenAlex ID: W2016791671
description: scientific article; zbMATH DE number 1355007