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
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
  • [1] Some Generalizations of Fixed Point Theorems in Cone Metric Spaces
    Olaleru, J. O.
    FIXED POINT THEORY AND APPLICATIONS, 2009,
  • [2] Theta Cone Metric Spaces and Some Fixed Point Theorems
    Abou Bakr, Sahar Mohamed Ali
    JOURNAL OF MATHEMATICS, 2020, 2020
  • [3] Some Coupled Fixed Point Theorems in Cone Metric Spaces
    Sabetghadam, F.
    Masiha, H. P.
    Sanatpour, A. H.
    FIXED POINT THEORY AND APPLICATIONS, 2009,
  • [4] Some Coupled Fixed Point Theorems in Cone Metric Spaces
    F. Sabetghadam
    H. P. Masiha
    A. H. Sanatpour
    Fixed Point Theory and Applications, 2009
  • [5] Some Generalizations of Fixed Point Theorems in Cone Metric Spaces
    J. O. Olaleru
    Fixed Point Theory and Applications, 2009
  • [6] Some fixed point theorems on ordered cone metric spaces
    Altun I.
    Durmaz G.
    Rendiconti del Circolo Matematico di Palermo, 2009, 58 (2) : 319 - 325
  • [7] SOME COMMON FIXED POINT THEOREMS IN VECTOR METRIC SPACES
    Altun, Ishak
    Cevik, Cuneyt
    FILOMAT, 2011, 25 (01) : 105 - 113
  • [8] KKM mappings in cone metric spaces and some fixed point theorems
    Turkoglu, Duran
    Abuloha, Muhib
    Abdeljawad, Thabet
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (01) : 348 - 353
  • [9] Cone D-Metric Spaces and Some Fixed Point Theorems
    Nezhad, Zahir Mazlumi
    Lakzian, Hossein
    THAI JOURNAL OF MATHEMATICS, 2012, 10 (02): : 259 - 273
  • [10] SOME COINCIDENCE AND COMMON FIXED POINT THEOREMS IN CONE METRIC SPACES
    Malhotra, S. K.
    Shukla, S.
    Sen, R.
    BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 4 (02): : 64 - 71