Remarks on Some Recent Fixed Point Results on Quaternion-Valued Metric Spaces

Very recently, Ahmed et al. introduced the notion of quaternion-valued metric as a generalization of metric and proved a common fixed point theorem in the context of quaternion-valued metric space. In this paper, we will show that the quaternion-valued metric spaces are subspaces of cone metric spac...

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Veröffentlicht in:Abstract and Applied Analysis 2014-01, Vol.2014, p.254-261-126
Hauptverfasser: Agarwal, Ravi P., Alsulami, Hamed H., Karapınar, Erdal, Khojasteh, Farshid
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Sprache:eng
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Zusammenfassung:Very recently, Ahmed et al. introduced the notion of quaternion-valued metric as a generalization of metric and proved a common fixed point theorem in the context of quaternion-valued metric space. In this paper, we will show that the quaternion-valued metric spaces are subspaces of cone metric spaces. Consequently, the fixed point results in such spaces can be derived as a consequence of the corresponding existing fixed point result in the setting cone metric spaces.
ISSN:1085-3375
1687-0409
DOI:10.1155/2014/171624