Lacunary I-invariant convergence

ULUSU U., NURAY F.

CUMHURIYET SCIENCE JOURNAL, vol.41, no.3, pp.617-624, 2020 (Peer-Reviewed Journal) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume: 41 Issue: 3
  • Publication Date: 2020
  • Doi Number: 10.17776/csj.689877
  • Journal Name: CUMHURIYET SCIENCE JOURNAL
  • Journal Indexes: Directory of Open Access Journals, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.617-624
  • Keywords: Lacunary sequence, Invariant convergence, I-convergence, Wijsman convergence, Cauchy sequence, Sequences of sets, STATISTICAL CONVERGENCE, IDEAL CONVERGENCE, I-2-CONVERGENCE, CONES
  • Sivas Cumhuriyet University Affiliated: Yes

Abstract

In this paper, we study the concepts of Wijsman lacunary I-invariant convergence (I-sigma theta(W)), Wijsman lacunary I*-invariant convergence (I-sigma theta*(W)), Wijsman p-strongly lacunary invariant convergence ([WN sigma theta](p)) of sequences of sets and investigate the relationships among Wijsman lacunary invariant convergence, [WN sigma theta](p), I-sigma theta(W) and I-sigma theta*W. Also, we introduce the concepts of I-sigma theta -Cauchy sequence and I-sigma theta*W-Cauchy sequence of sets.