Common Fixed Point Results for Fuzzy Mappings on Complex-Valued Metric Spaces with Homotopy Results

被引:20
作者
Humaira [1 ]
Sarwar, Muhammad [1 ]
Kumam, Poom [2 ,3 ,4 ]
机构
[1] Univ Malakand, Dept Math, Dir L 18800, Khyber Pakhtunk, Pakistan
[2] KMUTT, Fac Sci, Dept Math, KMUTTFixed Point Res Lab, Room SCL 802 Fixed Point Lab,Sci Lab Bldg, Bangkok 10140, Thailand
[3] KMUTT, Fac Sci, KMUTT Fixed Point Theory & Applicat Res Grp KMUTT, Theoret & Computat Sci Ctr TaCS, Sci Lab Bldg,126 Pracha Uthit Rd, Bangkok 10140, Thailand
[4] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan
来源
SYMMETRY-BASEL | 2019年 / 11卷 / 01期
关键词
complex valued metric space; fuzzy mappings; fixed point; common fixed point; cauchy sequence; contractive condition; MULTIVALUED MAPPINGS; THEOREMS; EXISTENCE;
D O I
10.3390/sym11010061
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
Owing to the notion of a complex-valued metric space, we prove fixed point results, which generalize some common fixed point results under contractive condition for rational expression in the context of complex-valued metric spaces. In application, we present a homotopy result to apply the results obtained herein.
引用
收藏
页数:17
相关论文
共 34 条
[1]   Common Fixed Points for Multivalued Mappings in Complex Valued Metric Spaces with Applications [J].
Ahmad, Jamshaid ;
Klin-Eam, Chakkrid ;
Azam, Akbar .
ABSTRACT AND APPLIED ANALYSIS, 2013,
[2]   Fixed point theorems for fuzzy mappings [J].
Arora, SC ;
Sharma, V .
FUZZY SETS AND SYSTEMS, 2000, 110 (01) :127-130
[3]   Common fixed point theorems for multi-valued mappings in complex-valued metric spaces [J].
Azam, Akbar ;
Ahmad, Jamshaid ;
Kumam, Poom .
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
[4]   Common fuzzy fixed points for fuzzy mappings [J].
Azam, Akbar ;
Beg, Ismat .
FIXED POINT THEORY AND APPLICATIONS, 2013, :8-18
[5]  
Azam A, 2011, HACET J MATH STAT, V40, P421
[6]   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
[7]   Existence and uniqueness of fuzzy solution for the nonlinear fuzzy integrodifferential equations [J].
Balasubramaniam, P ;
Muralisankar, S .
APPLIED MATHEMATICS LETTERS, 2001, 14 (04) :455-462
[8]  
Banach S., 1922, Fund Math, V3, P133, DOI DOI 10.4064/FM-3-1-133-181
[9]   FUZZY MAPPINGS AND FIXED-POINT THEOREMS [J].
BOSE, RK ;
SAHANI, D .
FUZZY SETS AND SYSTEMS, 1987, 21 (01) :53-58
[10]  
Ciri B.L., 1974, P AM MATH SOC, V2, P267, DOI [10.2307/2040075, DOI 10.2307/2040075]