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, 2020 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume:
  • Publication Date: 2020
  • Doi Number: 10.1007/s40010-020-00694-w
  • Title of Journal : PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES

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.