On some consequences of a generalized continuity

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Das P., Savas E.

Archivum Mathematicum, cilt.50, sa.2, ss.107-114, 2014 (Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 50 Sayı: 2
  • Basım Tarihi: 2014
  • Doi Numarası: 10.5817/am2014-2-107
  • Dergi Adı: Archivum Mathematicum
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.107-114
  • Anahtar Kelimeler: Conditions (NL1) and (NL2), Homogeneous, Linearity, Normed space
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Uşak Üniversitesi Adresli: Hayır

Özet

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.