Fixed points in weak non-Archimedean fuzzy metric spaces

被引：54

作者：

Vetro, Calogero ^{[1
]}

机构：

[1] Univ Palermo, Dipartimento Matemat & Informat, I-90123 Palermo, Italy

来源：

FUZZY SETS AND SYSTEMS | 2011年 / 162卷 / 01期

关键词：

Common fixed points; Weak non-Archimedean fuzzy metric spaces; Fuzzy contractive mappings; MAPPINGS; THEOREMS;

D O I：

10.1016/j.fss.2010.09.018

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Mihet [Fuzzy psi-contractive mappings in non-Archimedean fuzzy metric spaces, Fuzzy Sets and Systems, 159 (2008) 739-744] proved a theorem which assures the existence of a fixed point for fuzzy psi-contractive mappings in the framework of complete non-Archimedean fuzzy metric spaces. Motivated by this, we introduce a notion of weak non-Archimedean fuzzy metric space and prove that the weak non-Archimedean fuzzy metric induces a Hausdorff topology. We utilize this new notion to obtain some common fixed point results for a pair of generalized contractive type mappings. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：84 / 90

页数：7