AN ALTERNATIVE APPROACH TO IDEAL WIJSMAN CONVERGENCE
Journal of Classical Analysis, cilt.21, sa.1, ss.57-64, 2023 (Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 21 Sayı: 1
- Basım Tarihi: 2023
- Doi Numarası: 10.7153/jca-2023-21-06
- Dergi Adı: Journal of Classical Analysis
- Derginin Tarandığı İndeksler: Scopus
- Sayfa Sayıları: ss.57-64
- Anahtar Kelimeler: equicontinuity, I-convergence, Sequences of sets, Wijsman convergence, α-convergence
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
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.