A Note on Fixed Point Results in Complex-Valued Metric Spaces
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Date
2015
Journal Title
Journal ISSN
Volume Title
Publisher
Springer international Publishing Ag
Open Access Color
GOLD
Green Open Access
No
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Publicly Funded
No
Abstract
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.
Description
khojasteh, farhsid/0000-0002-3479-7674; Alsulami, Hamed Hamdan/0000-0001-5188-2830; KARAPINAR, ERDAL/0000-0002-6798-3254; Khojasteh, Farshid/0000-0002-9300-8487
Keywords
contraction mapping, cone metric spaces, quaternion-valued metric space, complex-valued metric space, fixed point, Applied Mathematics, Discrete Mathematics and Combinatorics, Analysis, cone metric spaces, fixed point, Fixed-point and coincidence theorems (topological aspects), Metric spaces, metrizability, complex-valued metric space, contraction mapping, quaternion-valued metric space
Fields of Science
0101 mathematics, 01 natural sciences
Citation
WoS Q
Q1
Scopus Q
Q2

OpenCitations Citation Count
5
Source
Journal of Inequalities and Applications
Volume
2015
Issue
Start Page
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Citations
CrossRef : 1
Scopus : 7
Captures
Mendeley Readers : 6
SCOPUS™ Citations
7
checked on Feb 20, 2026
Web of Science™ Citations
6
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Page Views
4
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