ROUGH CONTINUOUS CONVERGENCE OF SEQUENCES OF SETS


Olmez O., ALBAYRAK H., AYTAR S.

FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, cilt.36, sa.3, ss.619-626, 2021 (ESCI)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 36 Sayı: 3
  • Basım Tarihi: 2021
  • Doi Numarası: 10.22190/fumi210202046o
  • Dergi Adı: FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.619-626
  • Anahtar Kelimeler: Wijsman convergence, rough convergence, alpha-convergence, equicontinuity, CONES
  • Süleyman Demirel Üniversitesi Adresli: Evet

Özet

In this paper, we define a new type of convergence of sequences of sets by using the continuous convergence (or alpha-convergence) of the sequence of distance functions. Then we proved in which case it is equivalent to rough Wijsman convergence by considering the different values of the roughness degrees.