On partial fuzzy k-(pseudo-)metric spaces

Abstract

<abstract><p>In this paper, we introduce the concept of partial fuzzy k-(pseudo-)metric spaces, which is a generalization of fuzzy metric type spaces which introduced by Saadati. Also, we study some properties in partial fuzzy k-metric spaces and give some examples to support our results. Furthermore, we investigate the topological structures of partial fuzzy k-pseudo-metric spaces. Finally, we prove the existence of fixed points in these spaces.</p></abstract>

Fuzzy quasi-b-metric spaces

“…In paper [15] the concept of partial fuzzy k-(pseudo)-metric space is introduced and the author investigated the topological structures of these spaces. The concept of fuzzy bmetric space was generalized in [5], where the notion of fuzzy b-metric-like space was introduced.…”