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
收藏
页码：85 / 94
页数：10
相关论文
共 50 条
  • [1] Fixed point theorems for fuzzy ψ-contractive mappings in fuzzy metric spaces
    Turkoglu, Duran
    Sangurlu, Muzeyyen
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2014, 26 (01) : 137 - 142
  • [2] New fuzzy φ-fixed point results employing a new class of fuzzy contractive mappings
    Saleh, Hayel N.
    Khan, Idrees A.
    Imdad, Mohammad
    Alfaqih, Waleed M.
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2019, 37 (04) : 5391 - 5402
  • [3] Some new fixed point theorems for contractive and nonexpansive mappings
    Pant, Rajendra
    FILOMAT, 2014, 28 (02) : 313 - 317
  • [4] On fuzzy ψ-contractive sequences and fixed point theorems
    Gregori, Valentin
    Minana, Juan-Jose
    FUZZY SETS AND SYSTEMS, 2016, 300 : 93 - 101
  • [5] Fixed point theorems for α-ψ-contractive type mappings
    Samet, Bessem
    Vetro, Calogero
    Vetro, Pasquale
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (04) : 2154 - 2165
  • [6] FIXED POINT THEOREMS IN FUZZY METRIC SPACES FOR MAPPINGS WITH SOME CONTRACTIVE TYPE CONDITIONS
    Patir, Bijoy
    Goswami, Nilakshi
    Mishra, Lakshmi Narayan
    KOREAN JOURNAL OF MATHEMATICS, 2018, 26 (02): : 307 - 326
  • [7] Common fixed point theorems for nonlinear contractive mappings in fuzzy metric spaces
    Wang, Shenghua
    Alsulami, Saud M.
    Ciric, Ljubomir
    FIXED POINT THEORY AND APPLICATIONS, 2013,
  • [8] Common fixed point theorems for nonlinear contractive mappings in fuzzy metric spaces
    Shenghua Wang
    Saud M Alsulami
    Ljubomir Ćirić
    Fixed Point Theory and Applications, 2013
  • [9] Fixed Point Theorems for a Class of Mappings Governed By Strictly Contractive Implicit Function
    Popa, V.
    Imdad, M.
    Ali, Javid
    SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2010, 34 (05) : 941 - 952
  • [10] Common coupled fixed point theorems for contractive mappings in fuzzy metric spaces
    Mihet, Dorel
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2013, 6 (01): : 35 - 40
12345