A note on fixed point results in complex-valued metric spaces

被引：3

作者：

Al-Mezel, Saleh A. ^{[1
]}

Alsulami, Hamed H. ^{[1
]}

Karapinar, Erdal ^{[1
,2
]}

Khojasteh, Farshid ^{[3
]}

机构：

[1] King Abdulaziz Univ, Nonlinear Anal & Appl Math Res Grp NAAM, Jeddah 21491, Saudi Arabia

[2] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey

[3] Islamic Azad Univ, Arak Branch, Dept Math, Aral, Iran

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2015年

关键词：

contraction mapping; cone metric spaces; quaternion-valued metric space; complex-valued metric space; fixed point; CONTRACTIVE MAPPINGS; THEOREMS; EQUIVALENCE;

D O I：

10.1186/s13660-015-0550-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove that the fixed point results in the context of complex-valued metric spaces can be obtained as a consequence of corresponding existing results in the literature in the setting of associative metric spaces. In particular, we deduce that any complex metric space is a special case of cone metric spaces with a normal cone.

引用

页数：11

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