A new class of fuzzy contractive mappings and fixed point theorems

Shukla Satish; Gopal Dhananjay; Sintunavarat Wutiphol

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A new class of fuzzy contractive mappings and fixed point theorems

机译：一类新的模糊压缩映射和不动点定理

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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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来源
《Fuzzy sets and systems》 |2018年第1期|85-94|共10页
作者
Shukla Satish; Gopal Dhananjay; Sintunavarat Wutiphol;
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作者单位

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

SV Natl Inst Technol, Dept Appl Math & Humanities, Surat 395007, Gujarat, India;

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

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Fuzzy metric space; M-completeness; Fuzzy Z-contractive mapping; Fixed point; Edelstein's mapping;

机译：模糊度量空间;M-完备性;模糊Z压缩映射;不动点;爱德斯坦映射;

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1. Fixed point theorems for fuzzy ψ-contractive mappings in fuzzy metric spaces [J] . Duran Turkoglu, Muzeyyen Sangurlu Journal of intelligent & fuzzy systems: Applications in Engineering and Technology . 2014,第1期

机译：模糊度量空间中模糊ψ压缩映射的不动点定理
2. Fixed point theorems for some generalized contractive multi-valued mappings and fuzzy mappings [J] . R. K. Bose, M. K. Roychowdhury Matematicki Vesnik . 2011,第1期

机译：一些广义压缩多值映射和模糊映射的不动点定理
3. Approximation Theorems and Fixed Point Theorems for Various Classes of 1-set-contractive Mappings in Banach Spaces [J] . Li Shan LIU Acta Mathematica Sinica . 2001,第1期

机译：Banach空间中各类一类紧缩映射的逼近定理和不动点定理
4. Some New Fuzzy Fixed Point Theorems for Fuzzy Contractive Mappings in Hausdorff Fuzzy Metric Spaces [C] . Supak Phiangsungnoen International Conference on Control, Artificial Intelligence, Robotics and Optimization . 2018

机译：Hausdorff模糊度量空间中Fuzzy压缩映象的一些新的Fuzzy不动点定理。
5. Fixed point theorems for pseudo-contractive mappings in Banach spaces. [D] . Ul-Haq, Irfan. 1998

机译：Banach空间中伪压缩映射的不动点定理。
6. L-Fuzzy Fixed Points Theorems for L-Fuzzy Mappings via βℱL-Admissible Pair [O] . Maliha Rashid, Akbar Azam, Nayyar Mehmood -1

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7. Fuzzy Cone Metric Spaces and Fixed Point Theorems on Fuzzy T-Kannan & Fuzzy T-Chatterjea Type Contractive Mappings [O] . T. Bag 2015

机译：模糊T-Kannan和模糊T-Chatterjea型压缩映射的模糊锥度量空间和不动点定理

A new class of fuzzy contractive mappings and fixed point theorems

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