New fuzzy φ-fixed point results employing a new class of fuzzy contractive mappings

被引：19
|
作者：
Saleh, Hayel N. [1 ,2 ]
Khan, Idrees A. [3 ]
Imdad, Mohammad [1 ]
Alfaqih, Waleed M. [4 ]
机构：
[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India
[2] Taiz Univ, Dept Math, Taizi, Yemen
[3] Integral Univ, Dept Math, Lucknow, Uttar Pradesh, India
[4] Hajjah Univ, Dept Math, Hajjah, Yemen
来源：
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2019年 / 37卷 / 04期
关键词：
Fixed point; phi-fixed point; (FZ; F; phi)-contractive mapping; fuzzy metric space; ROUGH SET MODELS; METRIC-SPACES; THEOREMS; (I;
D O I：
10.3233/JIFS-190543
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper, we introduce a new class of fuzzy contractive mappings under the name of '(FZ, F, phi)-contractive mappings' and utilize the same to prove fuzzy phi-fixed point results. Some illustrative examples are also given to support our results besides deriving several consequences. As an application, we prove an existence and uniqueness result on the solution of first order periodic differential equation. Interestingly, this newly introduced class unifies several known contractions such as: fuzzy contractive, fuzzy psi-contractive, fuzzy H-contractive and fuzzy FZ-contractive mappings.
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页码：5391 / 5402
页数：12
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