Fuzzy partial metric spaces

被引：18

作者：

Gregori, Valentin ^{[1
]}

Minana, Juan-Jose ^{[2
]}

Miravet, David ^{[1
]}

机构：

[1] Univ Politecn Valencia, Inst Invest Gest Integrada Zonas Costeras, Gandia, Spain

[2] Univ Illes Balears, Dept Ciencies Matemat & Informat, Palma De Mallorca, Spain

来源：

INTERNATIONAL JOURNAL OF GENERAL SYSTEMS | 2019年 / 48卷 / 03期

关键词：

Partial metric space; fuzzy metric space; triangular norm; residuum operator; FIXED-POINT THEOREMS;

D O I：

10.1080/03081079.2018.1552687

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper we provide a concept of fuzzy partial metric space as an extension to fuzzy setting in the sense of Kramosil and Michalek, of the concept of partial metric due to Matthews. This extension has been defined using the residuum operator associated to a continuous t-norm and without any extra condition on . Similarly, it is defined the stronger concept of GV -fuzzy partial metric (fuzzy partial metric in the sense of George and Veeramani). After defining a concept of open ball in , a topology on X deduced from P is constructed, and it is showed that is a -space.

引用

页码：260 / 279

页数：20

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