The class of -type contractions in b-metric spaces and fixed point theorems

被引:0
作者
Samet, Bessem [1 ]
机构
[1] King Saud Univ, Dept Math, Coll Sci, Riyadh 11451, Saudi Arabia
关键词
alpha-psi-type contraction; b-metric space; fixed point; existence; uniqueness; PARTIALLY ORDERED SETS; MAPPINGS;
D O I
10.1186/s13663-015-0344-z
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We study the existence and uniqueness of fixed points for self-operators defined in a b-metric space and belonging to the class of -type contraction mappings. The obtained results generalize and unify several existing fixed point theorems in the literature.
引用
收藏
页数:17
相关论文
共 28 条
[1]  
Amini-Harandi A, 2014, FIXED POINT THEOR-RO, V15, P351
[2]  
Amiri P, 2014, RACSAM REV R ACAD A, V108, P519, DOI 10.1007/s13398-013-0123-9
[3]  
[Anonymous], 1961, ELEMENTS MATH
[4]   A fixed point theorem for set-valued quasi-contractions in b-metric spaces [J].
Aydi, Hassen ;
Bota, Monica-Felicia ;
Karapinar, Erdal ;
Mitrovic, Slobodanka .
FIXED POINT THEORY AND APPLICATIONS, 2012,
[5]  
Bakhtin I. A., 1989, Functional Analysis, V30, P26, DOI DOI 10.1039/AP9892600037
[6]  
Berinde V., 1997, CONTRACTII GEN SI AP
[7]  
Berinde V., 2004, Nonlinear Anal. Forum, V9, P43
[8]  
Berinde V, 1996, STUD U BABES BOLYAI, V16, P23
[9]  
Berinde V, 1991, B STIINT U BAIA MARE, V7, P21
[10]  
Berinde V, 2007, LECT NOTES MATH, V1912, P1