On some consequences of a generalized continuity
Archivum Mathematicum, vol.50, no.2, pp.107-114, 2014 (Scopus)
- Publication Type: Article / Article
- Volume: 50 Issue: 2
- Publication Date: 2014
- Doi Number: 10.5817/am2014-2-107
- Journal Name: Archivum Mathematicum
- Journal Indexes: Scopus
- Page Numbers: pp.107-114
- Keywords: Conditions (NL1) and (NL2), Homogeneous, Linearity, Normed space
- Open Archive Collection: AVESIS Open Access Collection
- Uşak University Affiliated: No
Abstract
In normed linear space settings, modifying the sequential definition of continuity of an operator by replacing the usual limit "lim" with arbitrary linear regular summability methods G we consider the notion of a generalized continuity ((G1, G2)-continuity) and examine some of its consequences in respect of usual continuity and linearity of the operators between two normed linear spaces.