Some Remarks About the Existence of Coupled G-Coincidence Points
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Date
2015
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Journal of Inequalities and Applications
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Abstract
Very recently, in a series of subsequent papers, Nan and Charoensawan introduced
the notion of g-coincidence point of two mappings in different settings (metric spaces
and G-metric spaces) and proved some theorems in order to guarantee the existence
and uniqueness of such kind of points. Although their notion seems to be attractive,
in this paper, we show how this concept can be reduced to the unidimensional
notion of coincidence point, and how their main theorems can be seen as particular
cases of existing results. Moreover, we prove that the proofs of their main statements
have some gaps.
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mathematics