IDEAL CONVERGENCE IN FUZZY METRIC SPACE

IDEAL CONVERGENCE IN FUZZY METRIC SPACE

A. Or, G. Karabacak

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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.

Keywords

K-convergence, K-Cauchy sequences, K-limit points, K-cluster points, fuzzy metric spaces