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.
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页码：85 / 94
页数：10
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