On some consequences of a generalized continuity

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Das P., Savas E.

Archivum Mathematicum, vol.50, no.2, pp.107-114, 2014 (Scopus) identifier

  • 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
  • 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.