The point of coincidence and common fixed point for a pair of mappings in cone metric spaces

被引：33
作者：
Choudhury, Binayak S.
Metiya, N. [1 ]
机构：
[1] Bengal Inst Technol, Dept Math, Kolkata 700150, W Bengal, India
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2010年 / 60卷 / 06期
关键词：
Cone metric space; Control function; Weakly compatible maps; Weak contraction; Point of coincidence; Common fixed point; WEAKLY CONTRACTIVE MAPS; ALTERING DISTANCES; THEOREMS;
D O I：
10.1016/j.camwa.2010.06.048
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper the existence of a point of coincidence and a common fixed point for two weakly compatible maps on a cone metric space has been established. The two mappings are assumed to satisfy certain weak inequalities. Supporting examples are also given. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1686 / 1695
页数：10
相关论文
共 27 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]  
Alber Y. I., 1997, Oper. Theory Adv. Appl., V98, P7
[3]  
[Anonymous], 1985, NONLINEAR FUNCTIONAL
[4]  
Babu G.V.R., 2010, J ADV RES PURE MATH, V2, P89
[5]   Approximation of fixed points of weakly contractive nonself maps in Banach spaces [J].
Chidume, CE ;
Zegeye, H ;
Aneke, SJ .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 270 (01) :189-199
[6]  
Choudhury B. S., 2005, Mathematical Communications, V10, P105
[7]   A FIXED POINT RESULT IN MENGER SPACES USING A REAL FUNCTION [J].
Choudhury, B. S. ;
Das, K. ;
Dutta, P. N. .
ACTA MATHEMATICA HUNGARICA, 2009, 122 (03) :203-216
[8]  
Choudhury B.S., 2005, SOOCHOW J MATH, V31, P71
[9]   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
[10]   A coincidence point result in Menger spaces using a control function [J].
Choudhury, Binayak S. ;
Das, Krishnapada .
CHAOS SOLITONS & FRACTALS, 2009, 42 (05) :3058-3063
123