On partial fuzzy k-(pseudo-)metric spaces

Yaoqiang Wu; Yaoqiang Wu

doi:10.3934/math.2021677

AIMS Mathematics

2021, Volume 6, Issue 11: 11642-11654. doi: 10.3934/math.2021677

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Research article

On partial fuzzy k-(pseudo-)metric spaces

Yaoqiang Wu ^,

School of Mathematics and Arts, Suqian University, Suqian, 223800, Jiangsu, China

Received: 27 May 2021 Accepted: 05 August 2021 Published: 11 August 2021
MSC : 47H10, 54E70, 54H25

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.
- partial metric,
- partial k-(pseudo-)metric,
- partial fuzzy k-pseudo-metric,
- partial fuzzy k-metric,
- fixed point theorem
Citation: Yaoqiang Wu. On partial fuzzy k-(pseudo-)metric spaces[J]. AIMS Mathematics, 2021, 6(11): 11642-11654. doi: 10.3934/math.2021677

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Abstract

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.

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