Common Fixed Point theorem in Cone Metric Spaces Over Banach Algebras

2020 ◽  
Vol 7 (7) ◽  
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Metric Spaces ◽  
Banach Algebras ◽  
Cone Metric Spaces ◽  
Common Fixed Point Theorem ◽  
Cone Metric

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

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Ravi P. Agarwal ◽  
Hamed H. Alsulami ◽  
Erdal Karapınar ◽  
Farshid Khojasteh
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Metric Space ◽  
Metric Spaces ◽  
Cone Metric Spaces ◽  
Fixed Point Result ◽  
Common Fixed Point Theorem ◽  
Cone Metric

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.

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