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

Agarwal, Ravi P.; Alsulami, Hamed H.; Karapinar, Erdal; Khojasteh, Farshid

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

Date

2014

Authors

Publisher

Hindawi Ltd

Organizational Units

Organizational Unit

Mathematics

(2000)

The Atılım University Department of Mathematics was founded in 2000 and it offers education in English. The Department offers students the opportunity to obtain a certificate in Mathematical Finance or Cryptography, aside from their undergraduate diploma. Our students may obtain a diploma secondary to their diploma in Mathematics with the Double-Major Program; as well as a certificate in their minor alongside their diploma in Mathematics through the Minor Program. Our graduates may pursue a career in academics at universities, as well as be hired in sectors such as finance, education, banking, and informatics. Our Department has been accredited by the evaluation and accreditation organization FEDEK for a duration of 5 years (until September 30th, 2025), the maximum FEDEK accreditation period achievable. Our Department is globally and nationally among the leading Mathematics departments with a program that suits international standards and a qualified academic staff; even more so for the last five years with our rankings in the field rankings of URAP, THE, USNEWS and WEBOFMETRIC.

Abstract

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.

Description

KARAPINAR, ERDAL/0000-0002-6798-3254; Alsulami, Hamed Hamdan/0000-0001-5188-2830; khojasteh, farhsid/0000-0002-3479-7674; Khojasteh, Farshid/0000-0002-9300-8487