NEW APPROACHES TO CONVERGENCE OF DOUBLE DIFFERENCE SEQUENCES IN L-FUZZY NORMED SPACE
Advances in Mathematical Sciences and Applications, cilt.35, sa.1, ss.143-161, 2026 (Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 35 Sayı: 1
- Basım Tarihi: 2026
- Dergi Adı: Advances in Mathematical Sciences and Applications
- Derginin Tarandığı İndeksler: Scopus
- Sayfa Sayıları: ss.143-161
- Anahtar Kelimeler: Ideal convergence, L-fuzzy normed spaces, rough convergence
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
This paper introduces the concept of rough ideal convergence for double difference sequences in L-fuzzy normed spaces. It defines the rough J2 limit set and investigates its topological and geometric properties. The study also presents the notion of J2-boundedness and examines its relationship with the rough J2 limit set. Furthermore, the concept of a rough J2-cluster point is developed, establishing key results that reveal the connection between closed balls and rough J2 limit sets in L-fuzzy normed spaces.