NEW APPROACHES TO CONVERGENCE OF DOUBLE DIFFERENCE SEQUENCES IN L-FUZZY NORMED SPACE
Advances in Mathematical Sciences and Applications, vol.35, no.1, pp.143-161, 2026 (Scopus)
- Publication Type: Article / Article
- Volume: 35 Issue: 1
- Publication Date: 2026
- Journal Name: Advances in Mathematical Sciences and Applications
- Journal Indexes: Scopus
- Page Numbers: pp.143-161
- Keywords: Ideal convergence, L-fuzzy normed spaces, rough convergence
- Süleyman Demirel University Affiliated: Yes
Abstract
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.