A Note on Fixed Point Results in Complex-Valued Metric Spaces

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Date

2015

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Publisher

Springer international Publishing Ag

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GOLD

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No

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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

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OpenCitations Citation Count
5

Source

Journal of Inequalities and Applications

Volume

2015

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CrossRef : 1

Scopus : 7

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7

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Web of Science™ Citations

6

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4

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