On I-convergence of nets in locally solid Riesz spaces

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Das P., Savas E.

Filomat, vol.27, no.1, pp.89-94, 2013 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 27 Issue: 1
  • Publication Date: 2013
  • Doi Number: 10.2298/fil1301089d
  • Journal Name: Filomat
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.89-94
  • Keywords: Ideal, filter, nets, I-tau-convergence, I-tau-boundedness, I-tau-Cauchy condition
  • Open Archive Collection: AVESIS Open Access Collection
  • İstanbul Ticaret University Affiliated: Yes

Abstract

In this paper, following the line of [13] and [6], we introduce the ideas of Iττ-convergence, Iτ- boundedness and Iτ-Cauchy condition of nets in a locally solid Riesz space endowed with a topology τ and investigate some of its consequences.