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

页码：974 / 987

页数：14

共 50 条

[31] Topological Vector Space-Valued Cone Metric Spaces and Fixed Point Theorems
Zoran Kadelburg
Stojan Radenović
Vladimir Rakočević
Fixed Point Theory and Applications, 2010
[32] Topological Vector Space-Valued Cone Metric Spaces and Fixed Point Theorems
Kadelburg, Zoran
Radenovic, Stojan
Rakocevic, Vladimir
FIXED POINT THEORY AND APPLICATIONS, 2010,
[33] Fixed point and common fixed point theorems on ordered cone metric spaces
Altun, Ishak
Damjanovic, Bosko
Djoric, Dragan
APPLIED MATHEMATICS LETTERS, 2010, 23 (03) : 310 - 316
[34] Some fixed point theorems for contractive mapping in ordered vector metric spaces
Cevik, Cuneyt
Altun, Ishak
Sahin, Hakan
Ozekena, Cetin Cemal
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (04): : 1424 - 1432
[35] On Generalized Algebraic Cone Metric Spaces and Fixed Point Theorems
Qing MENG
ChineseAnnalsofMathematics,SeriesB, 2019, (03) : 429 - 438
[36] Distance in cone metric spaces and common fixed point theorems
Wang, Shenghua
Guo, Baohua
APPLIED MATHEMATICS LETTERS, 2011, 24 (10) : 1735 - 1739
[37] Fuzzy Fixed Point Theorems in Ordered Cone Metric Spaces
Azam, Akbar
Mehmood, Nayyar
Rashid, Maliha
Radenovic, Stojan
FILOMAT, 2015, 29 (04) : 887 - 896
[38] REMARKS ON COUPLED FIXED POINT THEOREMS IN CONE METRIC SPACES
Nguyen Van Luong
Nguyen Xuan Thuan
Rao, K. P. R.
MATEMATICKI VESNIK, 2013, 65 (01): : 122 - 136
[39] Fixed point theorems for multivalued maps in cone metric spaces
Seong-Hoon Cho
Jong-Sook Bae
Fixed Point Theory and Applications, 2011
[40] On Generalized Algebraic Cone Metric Spaces and Fixed Point Theorems
Qing Meng
Chinese Annals of Mathematics, Series B, 2019, 40 : 429 - 438

← 1 2 3 4 5 →