Ideal convergence in partial metric spaces

Gülle E., Dündar E., ULUSU U.

Soft Computing, cilt.27, sa.19, ss.13789-13795, 2023 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 27 Sayı: 19
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1007/s00500-023-08994-0
  • Dergi Adı: Soft Computing
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, Compendex, Computer & Applied Sciences, INSPEC, zbMATH
  • Sayfa Sayıları: ss.13789-13795
  • Anahtar Kelimeler: Ideal convergence, Partial metric space, Statistical convergence
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

The aim of this paper was to develop the summability literature by introducing the concept of Ip -convergence in the partial metric space (X, p). First, we give some properties of Ip -convergence. Also, we introduce the concept of Ip∗ -convergence in the partial metric space (X, p) and examine relations between newly defined concepts. Then, we present the concepts of Ip -Cauchy and Ip∗ -Cauchy sequence in the partial metric space (X, p) and investigate relations between these Cauchy sequences.