Fixed point theorems and Cauchy sequences in fuzzy metric spaces

被引：94

作者：

Vasuki, R

Veeramani, P ^{[1
]}

机构：

[1] Indian Inst Technol, Dept Math, Madras 600036, Tamil Nadu, India

[2] SIVET Coll, Dept Math, Madras, Tamil Nadu, India

来源：

FUZZY SETS AND SYSTEMS | 2003年 / 135卷 / 03期

关键词：

fuzzy metric space; Cauchy sequence; fixed point theorems;

D O I：

10.1016/S0165-0114(02)00132-X

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Grabiec proved an analogue of Banach contraction theorem in fuzzy metric spaces by using a fuzzy version of Cauchy sequence. Some authors continued their work in the same direction of Grabiec. Our aim in this paper is to discuss the difference between two different type of Cauchy sequences used in the literature to prove fixed point theorems in fuzzy metric spaces. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：415 / 417

页数：3