Fuzzy fixed points of fuzzy mappings via F-contractions and an application

被引：16
作者：
Ahmad, Jamshaid [1 ]
Aydi, Hassen [2 ,3 ]
Mlaiki, Nabil [4 ]
机构：
[1] Univ Jeddah, Dept Math, Jeddah, Saudi Arabia
[2] Univ Sousse, Inst Super Informat & Tech Commun, Sousse, Tunisia
[3] China Med Univ, China Med Univ Hosp, Taichung, Taiwan
[4] Prince Sultan Univ, Dept Math & Gen Sci, Riyadh 11586, Saudi Arabia
来源：
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2019年 / 37卷 / 04期
关键词：
F-contraction; complete metric space; fixed point; fuzzy mapping; METRIC-SPACES; THEOREMS;
D O I：
10.3233/JIFS-190580
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 manuscript, we study the existence of common alpha-fuzzy fixed points for fuzzy mappings via F-contractions on a metric space. We obtain some common fixed points of fuzzy (multivalued) mappings satisfying an F-contraction associated with the sigma(infinity) (Hausdorff) metric. In closing, we provide an application of our results.
引用
收藏
页码：5487 / 5493
页数：7
相关论文
共 37 条
[1]   Common fixed point theorems in L-fuzzy metric spaces [J].
Adibi, H. ;
Cho, Y. J. ;
O'Regan, D. ;
Saadati, R. .
APPLIED MATHEMATICS AND COMPUTATION, 2006, 182 (01) :820-828
[2]   New fixed point theorems for generalized F-contractions in complete metric spaces [J].
Ahmad, Jamshaid ;
Al-Rawashdeh, Ahmed ;
Azam, Akbar .
FIXED POINT THEORY AND APPLICATIONS, 2015,
[3]   Fixed point results for {α, ξ}-expansive locally contractive mappings [J].
Ahmad, Jamshaid ;
Al-Rawashdeh, Ahmed Saleh ;
Azam, Akbar .
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
[4]   On common fixed points for α-F-contractions and applications [J].
Al-Rawashdeh, Ahmed ;
Aydi, Hassen ;
Felhi, Abdelbasset ;
Sahmim, Slah ;
Shatanawi, Wasfi .
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (05) :3445-3458
[5]  
Altun I, 2015, J NONLINEAR CONVEX A, V16, P659
[6]   Fixed point theorems for fuzzy mappings [J].
Arora, SC ;
Sharma, V .
FUZZY SETS AND SYSTEMS, 2000, 110 (01) :127-130
[7]  
AYDI H, 2019, SYMMETRY-BASEL, V11, DOI DOI 10.3390/SYM11030313
[8]   Nemytzki-Edelstein-Meir-Keeler Type Results in b-Metric Spaces [J].
Aydi, Hassen ;
Bankovic, Radoje ;
Mitrovic, Ivan ;
Nazam, Muhammad .
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2018, 2018
[9]   Modified F-Contractions via α-Admissible Mappings and Application to Integral Equations [J].
Aydi, Hassen ;
Karapinar, Erdal ;
Yazidi, Habib .
FILOMAT, 2017, 31 (05) :1141-1148
[10]   Coupled fixed point results for (ψ, φ)-weakly contractive mappings in ordered G-metric spaces [J].
Aydi, Hassen ;
Postolache, Mihai ;
Shatanawi, Wasfi .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 63 (01) :298-309
1234