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
[11]  
Dass B., 1975, Indian J. Pure Appl. Math., V6, P1455
[12]  
Estruch V.D., 2001, Proceedings of the II Italian-Spanish Congress on General Topology and Its Applications, P39
[13]  
Green A., 1999, REND I MATH U TRIEST, VXXX, P103
[14]   Common Fixed Point Theorems for alpha-psi-Contractive Type Mappings [J].
Hassanzadeasl, Jalal .
INTERNATIONAL JOURNAL OF ANALYSIS, 2013,
[15]   FUZZY MAPPINGS AND FIXED-POINT THEOREM [J].
HEILPERN, S .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1981, 83 (02) :566-569
[16]   Fuzzy Fixed Point Results For Φ Contractive Mapping with Applications [J].
Humaira ;
Sarwar, Muhammad ;
Kishore, G. N. V. .
COMPLEXITY, 2018,
[17]  
Humaira M.S., 2018, APPL MATH INFORM SCI, V12, P861, DOI 10.18576/amis/120421
[18]   FUZZY DIFFERENTIAL-EQUATIONS [J].
KALEVA, O .
FUZZY SETS AND SYSTEMS, 1987, 24 (03) :301-317
[19]   Some Common Fixed-Point Theorems for Generalized-Contractive-Type Mappings on Complex-Valued Metric Spaces [J].
Klin-eam, Chakkrid ;
Suanoom, Cholatis .
ABSTRACT AND APPLIED ANALYSIS, 2013,
[20]   Generalized Common Fixed Point Results via Greatest Lower Bound Property [J].
Kutbi, Marwan Amin ;
Ahmad, Jamshaid ;
Azam, Akbar ;
Al-Rawashdeh, Ahmed Saleh .
JOURNAL OF APPLIED MATHEMATICS, 2014,