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Citation - WoS: 69
Citation - Scopus: 70
An Approach To Best Proximity Points Results Via Simulation Functions
(Springer Basel Ag, 2017) Karapinar, Erdal; Khojasteh, Farshid
In this paper, we investigate of the existence of the best proximity points of certain mapping defined via simulation functions in the frame of complete metric spaces. We consider the uniqueness criteria for such mappings. The obtained results unify a number of the existing results on the topic in the literature.
Citation - WoS: 5
Citation - Scopus: 11
Remarks on Some Recent Fixed Point Results on Quaternion-Valued Metric Spaces
(Hindawi Ltd, 2014) Agarwal, Ravi P.; Alsulami, Hamed H.; Karapinar, Erdal; Khojasteh, Farshid
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.