Common fixed point theorem for two pairs of non-self-mappings satisfying generalized Ciric type contraction condition in cone metric spaces

被引:2
作者
Huang, Xianjiu [1 ]
Luo, Jing [1 ]
Zhu, Chuanxi [1 ]
Wen, Xi [2 ]
机构
[1] Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China
[2] Nanchang Univ, Dept Comp Sci, Nanchang 330031, Jiangxi, Peoples R China
基金
中国国家自然科学基金;
关键词
cone metric spaces; common fixed point; non-self-mappings; contraction condition of Ciric type; C-DISTANCE;
D O I
10.1186/1687-1812-2014-157
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we prove a common fixed point theorem for two pairs of non-self-mappings satisfying the generalized contraction condition of Ciric type in cone metric spaces. Our result generalizes and extends some recent results related to non-self-mappings in the setting of cone metric spaces.
引用
收藏
页数:19
相关论文
共 51 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]   Fixed and periodic point results in cone metric spaces [J].
Abbas, Mujahid ;
Rhoades, B. E. .
APPLIED MATHEMATICS LETTERS, 2009, 22 (04) :511-515
[3]   Fixed point and common fixed point theorems on ordered cone metric spaces [J].
Altun, Ishak ;
Damjanovic, Bosko ;
Djoric, Dragan .
APPLIED MATHEMATICS LETTERS, 2010, 23 (03) :310-316
[4]   FIXED-POINT THEOREMS FOR SET-VALUED MAPPINGS OF CONTRACTIVE TYPE [J].
ASSAD, NA ;
KIRK, WA .
PACIFIC JOURNAL OF MATHEMATICS, 1972, 43 (03) :553-562
[5]  
Assad NA., 1976, Tamkang Journal of Mathematics, V7, P91
[6]   Fixed points of weak contractions in cone metric spaces [J].
Choudhury, Binayak S. ;
Metiya, N. .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (3-4) :1589-1593
[7]  
Ciric L.B., 2004, REV ROUMAINE MATH PU, V49, P103
[8]   Contractive type non-self mappings on metric spaces of hyperbolic type [J].
Ciric, LB .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 317 (01) :28-42
[9]   Multi-valued non-self-mappings on convex metric spaces [J].
Ciric, LB ;
Ume, JS .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 60 (06) :1053-1063
[10]  
Ciric LB, 2002, PUBL MATH-DEBRECEN, V60, P359