Ideal convergence in partial metric spaces
Soft Computing, cilt.27, sa.19, ss.13789-13795, 2023 (SCI-Expanded)
- 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.