Remarks on Cone Metric Spaces and Fixed Point Theorems of Contractive Mappings

被引：66

作者：

Khamsi, Mohamed A. ^{[1
,2
]}

机构：

[1] Univ Texas El Paso, Dept Math Sci, El Paso, TX 79968 USA

[2] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia

来源：

FIXED POINT THEORY AND APPLICATIONS | 2010年

关键词：

Banach Space; Point Theorem; Fixed Point Theorem; Triangle Inequality; Cauchy Sequence;

D O I：

10.1155/2010/315398

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We discuss the newly introduced concept of cone metric spaces. We also discuss the fixed point existence results of contractive mappings defined on such metric spaces. In particular, we show that most of the new results are merely copies of the classical ones.

引用

页数：7

共 50 条

[1] Remarks on Cone Metric Spaces and Fixed Point Theorems of Contractive Mappings
MohamedA Khamsi
[J]. Fixed Point Theory and Applications, 2010
[2] Cone metric spaces and fixed point theorems of contractive mappings
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Zhang Xian
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 332 (02) : 1468 - 1476
[3] Cone metric spaces and fixed point theorems in diametrically contractive mappings
Duran Turkoglu
Muhib Abuloha
[J]. Acta Mathematica Sinica, English Series, 2010, 26 : 489 - 496
[4] Cone Metric Spaces and Fixed Point Theorems in Diametrically Contractive Mappings
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Muhib ABULOHA
[J]. Acta Mathematica Sinica,English Series, 2010, 26 (03) : 489 - 496
[5] Algebraic cone metric spaces and fixed point theorems of contractive mappings
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Alireza Bagheri Salec
[J]. Fixed Point Theory and Applications, 2014
[6] Cone metric spaces and fixed point theorems in diametrically contractive mappings
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Abuloha, Muhib
[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2010, 26 (03) : 489 - 496
[7] Algebraic cone metric spaces and fixed point theorems of contractive mappings
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[J]. FIXED POINT THEORY AND APPLICATIONS, 2014,
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[J]. JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2021, 23 (04)
[9] Some remarks on the paper “Fixed point theorems for generalized contractive mappings in metric spaces”
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[J]. Journal of Fixed Point Theory and Applications, 2021, 23
[10] Fixed point theorems of contractive mappings in cone b-metric spaces and applications
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Xu, Shaoyuan
[J]. FIXED POINT THEORY AND APPLICATIONS, 2013,

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