New results on lacunary ideal convergence in fuzzy cone normed spaces

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 l-limit points and lacunary l-cluster points of sequences in FCNS are examined. Furthermore, lacunary Cauchy and lacunary l-Cauchy sequences in FCNS are presented and relationships between them are studied.