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 50 条
  • [11] SOME COMMON FIXED POINT THEOREMS IN GENERALIZED VECTOR METRIC SPACES
    Shrivastava, Rajesh
    Dubey, Rajendra Kumar
    Tiwari, Pankaj
    INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2014, 4 (02): : 100 - 106
  • [12] Multipled fixed point theorems in cone metric spaces
    Olaoluwa, Hallowed
    Olaleru, Jonhson
    FIXED POINT THEORY AND APPLICATIONS, 2014,
  • [13] GENERALIZED FIXED POINT THEOREMS IN CONE METRIC SPACES
    Kim, Seung Hyun
    Lee, Byung Soo
    KOREAN JOURNAL OF MATHEMATICS, 2012, 20 (03): : 353 - 360
  • [14] Multipled fixed point theorems in cone metric spaces
    Hallowed Olaoluwa
    Jonhson Olaleru
    Fixed Point Theory and Applications, 2014
  • [15] Fixed point theorems in ordered cone metric spaces
    Yang, Young-Oh
    Choi, Hong Joon
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (06): : 4571 - 4579
  • [16] Coupled fixed point theorems in cone metric spaces
    Olatinwo M.O.
    ANNALI DELL'UNIVERSITA' DI FERRARA, 2011, 57 (1) : 173 - 180
  • [17] Neutrosophic Fixed Point Theorems and Cone Metric Spaces
    Al-omeri, Wadei F.
    Jafari, Saeid
    Smarandache, Florentin
    NEUTROSOPHIC SETS AND SYSTEMS, 2019, 31 : 250 - 265
  • [18] Neutrosophic Fixed Point Theorems and Cone Metric Spaces
    Al-Omeri W.F.
    Jafari S.
    Smarandache F.
    Neutrosophic Sets and Systems, 2020, 31 : 250 - 265
  • [19] Some fixed and coincidence point theorems for expansive maps in cone metric spaces
    Shatanawi, Wasfi
    Awawdeh, Fadi
    FIXED POINT THEORY AND APPLICATIONS, 2012,
  • [20] Some fixed and coincidence point theorems for expansive maps in cone metric spaces
    Wasfi Shatanawi
    Fadi Awawdeh
    Fixed Point Theory and Applications, 2012