New results on lacunary ideal convergence in fuzzy cone normed spaces
1Department of Mathematics, Bartın University, Bartın, 74100, Türkiye
2Department of Mathematics, Süleyman Demirel University, Isparta, 32260, Türkiye
2Department of Mathematics, Süleyman Demirel University, Isparta, 32260, Türkiye
Sigma J Eng Nat Sci 2023; 41(6): 1255-1263 DOI: 10.14744/sigma.2022.00059
Abstract
In this paper, some existing theories on convergence of sequences in fuzzy cone normed space (FCNS in short) are extended to lacunary ideal convergence in FCNS. An original concept, named lacunary convergence of sequence in FCNS, is investigated. Also, lacunary 𝐼-limit points and lacunary 𝐼-cluster points of sequences in FCNS are examined. Furthermore, lacunary Cauchy and lacunary 𝐼-Cauchy sequences in FCNS are presented and relationships between them are studied.
Keywords: Lacunary Ideal Convergence, Lacunary I-Limit Points, Lacunary I-Cluster Points, Fuzzy Cone Normed Space
