Wijsman Lacunary I-Invariant Convergence of Sequences of Sets

Dundar E., Akin N. P., Ulusu U.

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES, cilt.91, sa.3, ss.517-522, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 91 Sayı: 3
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1007/s40010-020-00694-w
  • Dergi Adı: PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC, zbMATH
  • Sayfa Sayıları: ss.517-522
  • Anahtar Kelimeler: Lacunary sequence, Invariant convergence, I-convergence, Wijsman convergence, Cauchy sequence, Sequences of sets, STATISTICAL CONVERGENCE, IDEAL CONVERGENCE, I-2-CONVERGENCE, CONES
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

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.