Some Fixed Point Theorems for α-Admissible Mappings in Complex-Valued Fuzzy Metric Spaces

被引：7
作者：
Shukla, Satish [1 ]
Rai, Shweta [2 ]
Shukla, Rahul [3 ]
机构：
[1] Shri Vaishnav Vidyapeeth Vishwavidyalaya, Shri Vaishnav Inst Sci, Dept Math, Gram Baroli Sanwer Rd, Indore 453331, India
[2] Acropolis Inst Technol & Res, Dept Math, Indore 453771, India
[3] Walter Sisulu Univ, Dept Math Sci & Comp, ZA-5117 Mthatha, South Africa
来源：
SYMMETRY-BASEL | 2023年 / 15卷 / 09期
关键词：
complex-valued fuzzy metric space; & alpha; -admissible mapping; fixed point; -(& psi; phi; )-contraction; CONTRACTIONS;
D O I：
10.3390/sym15091797
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
This paper discusses some properties of complex-valued fuzzy metric spaces and introduces the alpha-admissible mappings in the setting of complex-valued fuzzy metric spaces. We establish fixed point theorems for mappings satisfying symmetric contractive conditions with control functions. The results of this paper generalize, extend, and improve several results from metric, fuzzy metric, and complex-valued fuzzy metric spaces. Several examples are presented that verify and illustrate the new concepts, claims, and results.
引用
收藏
页数：20
相关论文
共 32 条
[1]   Common fixed point results for noncommuting mappings without continuity in cone metric spaces [J].
Abbas, A. ;
Jungck, G. .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 341 (01) :416-420
[2]  
Aydi H., 2015, ELECT J DIFFERENTIAL, V2015, P1
[3]   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
[4]   COMMON FIXED POINT THEOREMS IN COMPLEX VALUED METRIC SPACES [J].
Azam, Akbar ;
Fisher, Brian ;
Khan, M. .
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2011, 32 (03) :243-253
[5]   Fixed point in bicomplex valued metric spaces [J].
Beg, Ismat ;
Datta, Sanjib Kumar ;
Pal, Dipankar .
INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2021, 12 (02) :717-727
[6]   FIXED POINT THEOREMS IN COMPLEX VALUED FUZZY b-METRIC SPACES WITH APPLICATION TO INTEGRAL EQUATIONS [J].
Demir, Izzettin .
MISKOLC MATHEMATICAL NOTES, 2021, 22 (01) :153-171
[7]  
Ege O, 2015, J NONLINEAR SCI APPL, V8, P1014
[8]   On the unification of the fundamental forces and complex time in the ε(∞) space [J].
El Naschie, MS .
CHAOS SOLITONS & FRACTALS, 2000, 11 (07) :1149-1162
[9]   ON SOME RESULTS IN FUZZY METRIC-SPACES [J].
GEORGE, A ;
VEERAMANI, P .
FUZZY SETS AND SYSTEMS, 1994, 64 (03) :395-399
[10]   FIXED-POINTS IN FUZZY METRIC-SPACES [J].
GRABIEC, M .
FUZZY SETS AND SYSTEMS, 1988, 27 (03) :385-389
1234