Ideal convergence in fuzzy metric spaces

Abstract

In this paper, the concepts of K−convergence, K-Cauchy sequences, K*-convergence, and K*-Cauchy sequences in fuzzy metric spaces is proposed. Also, a few fundamental properties of these concepts are investigated. Then, the concepts of K-limit and K-cluster points of a sequence in these spaces is defined. Afterwards, some of their basic properties is examined. Finally, the need for further research is discussed.