VECTOR CONE METRIC SPACES AND SOME FIXED POINT THEOREMS

被引:0
作者
Gangopadhyay, Mukti [1 ]
Saha, Mantu [2 ]
Baisnab, A. P. [3 ]
机构
[1] Calcutta Girls BT Coll, Kolkata, W Bengal, India
[2] Univ Burdwan, Dept Math, Burdwan, W Bengal, India
[3] Lady Brabourne Coll, Kolkata, W Bengal, India
来源
JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES | 2012年 / 7卷 / 01期
关键词
vector cone; metric space; topology; fixed point Theorem;
D O I
10.26782/jmcms.2012.07.00004
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
In this paper it is shown that a vector cone metric space as introduced by us bears a metric like topology. Cantor's intersection like Theorem is proved and as an application of the same a useful fixed point Theorem is obtained.
引用
收藏
页码:974 / 987
页数:14
相关论文
共 6 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]   Cone metric spaces and fixed point theorems of contractive mappings [J].
Huang Long-Guang ;
Zhang Xian .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 332 (02) :1468-1476
[3]   Common fixed points for maps on cone metric space [J].
Ilic, Dejan ;
Rakocevic, Vladimir .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 341 (02) :876-882
[4]   Some notes on the paper "Cone metric spaces and fixed point theorems of contractive mappings" [J].
Rezapour, Sh. ;
Hamlbarani, R. .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 345 (02) :719-724
[5]  
Sreenivasan T. K., 1947, J INDIAN MATH SOC, V11
[6]   COMMON FIXED POINTS IN CONE METRIC SPACES [J].
Vetro, Pasquale .
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2007, 56 (03) :464-468