Fuzzy Fixed Point Results in F-Metric Spaces with Applications

被引:20
作者
Alansari, Monairah [1 ]
Mohammed, Shehu Shagari [2 ]
Azam, Akbar [3 ]
机构
[1] King Abdulaziz Univ, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia
[2] Ahmadu Bello Univ, Dept Math, Fac Phys Sci, Zaria, Nigeria
[3] COMSATS Univ, Dept Math, Islamabad 44000, Pakistan
关键词
NEUTRAL DIFFERENTIAL PROBLEM; UNBOUNDED DELAY; EXISTENCE; UNIQUENESS;
D O I
10.1155/2020/5142815
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, some concepts ofF-metric spaces are used to study a few fuzzy fixed point theorems. Consequently, corresponding fixed point theorems of multivalued and single-valued mappings are discussed. Moreover, one of our obtained results is applied to establish some conditions for existence of solutions of fuzzy Cauchy problems. It is hoped that the established ideas in this work will awake new research directions in fuzzy fixed point theory and related hybrid models in the framework ofF-metric spaces.
引用
收藏
页数:11
相关论文
共 32 条
[1]  
Ahmad J., 2019, J. Nonlinear Sci. Appl., V12, P337, DOI 10.22436/jnsa.012.05.06
[2]   Existence and uniqueness results for fuzzy linear differential-algebraic equations [J].
Alikhani, R. ;
Bahrami, F. ;
Bhaskar, T. Gnana .
FUZZY SETS AND SYSTEMS, 2014, 245 :30-42
[3]  
Allahviranloo T, 2015, IRAN J FUZZY SYST, V12, P75
[4]  
[Anonymous], 1997, CONTRACTII GEN SI AP
[5]  
Aydi H, 2019, RACSAM REV R ACAD A, V113, P3197, DOI 10.1007/s13398-019-00690-9
[6]  
Azam A, 2011, INT J FUZZY SYST, V13, P383
[7]   On a pair of fuzzy φ-contractive mappings [J].
Azam, Akbar ;
Arshad, Muhammad ;
Vetro, Pasquale .
MATHEMATICAL AND COMPUTER MODELLING, 2010, 52 (1-2) :207-214
[8]   Common fixed points of fuzzy maps [J].
Azam, Akbar ;
Beg, Ismat .
MATHEMATICAL AND COMPUTER MODELLING, 2009, 49 (7-8) :1331-1336
[9]  
Banach S., 1922, Fundamenta Mathematicae, V3, P133, DOI [10.4064/fm-3-1-133-181, DOI 10.4064/FM-3-1-133-181]
[10]   Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations [J].
Bede, B ;
Gal, SG .
FUZZY SETS AND SYSTEMS, 2005, 151 (03) :581-599