TWO COMMON FIXED POINT THEOREMS FOR COMPATIBLE MAPPINGS

被引:0
作者
Razani, A. [1 ]
Yazdi, M. [1 ]
机构
[1] L Kh Int Univ, Fac Sci, Dept Math, POB 34149, Qazvin 16818, Iran
来源
INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS | 2011年 / 2卷 / 02期
关键词
Common fixed point; Compatible mapping; Weakly Compatible mappings; phi-weak contraction; Complete metric space;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Recently, Zhang and Song [Q. Zhang, Y. Song, Fixed point theory for generalized phi-weak contractions, Appl. Math. Lett. 22(2009) 75-78] proved a common fixed point theorem for two maps satisfying generalized phi-weak contractions. In this paper, we prove a common fixed point theorem for a family of compatible maps. In fact, a new generalization of Zhang and Song's theorem is given.
引用
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页码:7 / 18
页数:12
相关论文
共 29 条
[1]   Noncommuting selfmaps and invariant approximations [J].
Al-Thagafi, MA ;
Shahzad, N .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2006, 64 (12) :2778-2786
[2]  
Alber YaI., 1997, OPERATOR THEORY ADV, V98, P7
[3]  
Babu G. V. R., 2006, Mathematical Communications, V11, P87
[4]   ON NONLINEAR CONTRACTIONS [J].
BOYD, DW ;
WONG, JSW .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 20 (02) :458-&
[5]   Convergence to common fixed point of nonexpansive semigroups [J].
Chen, Rudong ;
Song, Yunyan .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 200 (02) :566-575
[6]   Viscosity approximation of common fixed points of nonexpansive semigroups in Banach space [J].
Chen, Rudong ;
He, Huimin .
APPLIED MATHEMATICS LETTERS, 2007, 20 (07) :751-757
[7]  
Ciric L. B., 1971, PUBL I MATH, V12, P19
[8]   Some common fixed point theorems for weakly compatible mappings [J].
Ciric, LB ;
Ume, JS .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 314 (02) :488-499
[9]   Common fixed point theorems for families of weakly compatible maps [J].
Ciric, Ljubomir ;
Razani, A. ;
Radenovic, Stojan ;
Ume, J. S. .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 55 (11) :2533-2543
[10]   Common fixed point and invariant approximation results for noncommuting generalized (f, g)-nonexpansive maps [J].
Hussain, N. ;
Jungck, G. .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 321 (02) :851-861