New results on lacunary ideal convergence in fuzzy cone normed spaces

Authors : Ömer Kişi, Mehmet Gürdal

Pages : 1255-1263

View : 25 | Download : 51

Publication Date : 2023-12-29

Article Type : Research

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 ????-limit points and lacunary ????-cluster points of sequences in FCNS are examined. Furthermore, la-cunary Cauchy and lacunary ????-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