AN ALTERNATIVE APPROACH TO IDEAL WIJSMAN CONVERGENCE

ALBAYRAK H., Ölmez Ö., AYTAR S.

Journal of Classical Analysis, vol.21, no.1, pp.57-64, 2023 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 21 Issue: 1
  • Publication Date: 2023
  • Doi Number: 10.7153/jca-2023-21-06
  • Journal Name: Journal of Classical Analysis
  • Journal Indexes: Scopus
  • Page Numbers: pp.57-64
  • Keywords: equicontinuity, I-convergence, Sequences of sets, Wijsman convergence, α-convergence
  • Süleyman Demirel University Affiliated: Yes

Abstract

The concept of Wijsman convergence of a sequence of sets was defined using the pointwise convergence of the sequence of distance functions. Based on this idea, in this article, a new type of set convergence is obtained by using the concept of ideal α-convergence for the sequence of distance functions. Then it is shown that this new convergence is equivalent to the Wijsman convergence according to the specific choice of ideal.