A new class of fuzzy contractive mappings and fixed point theorems

被引：31

作者：

Shukla, Satish ^{[1
]}

Gopal, Dhananjay ^{[2
]}

Sintunavarat, Wutiphol ^{[3
]}

机构：

[1] Shri Vaishnav Inst Technol & Sci, Dept Appl Math, Sanwer Rd, Indore 453331, Madhya Pradesh, India

[2] SV Natl Inst Technol, Dept Appl Math & Humanities, Surat 395007, Gujarat, India

[3] Thammasat Univ, Fac Sci & Technol, Dept Math & Stat, Rangsit Ctr, Pathum Thani 12121, Thailand

来源：

FUZZY SETS AND SYSTEMS | 2018年 / 350卷

关键词：

Fuzzy metric space; M-completeness; Fuzzy Z-contractive mapping; Fixed point; Edelstein's mapping; QUASI-METRIC SPACES;

D O I：

10.1016/j.fss.2018.02.010

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

The main aim of this work is to unify different classes of fuzzy contractive mappings by introducing a new class of fuzzy contractive mappings called fuzzy Z-contractive mappings. For this new class of mappings, suitable conditions are framed to ensure the existence of fixed point in M-complete fuzzy metric spaces (in the sense of George and Veeramani). A comprehensive set of examples are presented to support the claim. (C) 2018 Elsevier B.V. All rights reserved.

引用

页码：85 / 94

页数：10