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Some remarks about the existence of coupled g-coincidence points

BROWSE_DETAIL_CREATION_DATE: 01-07-2015

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BROWSE_DETAIL_TYPE: Conference or Workshop Item

BROWSE_DETAIL_PUBLISH_STATE: Published

BROWSE_DETAIL_FORMAT: No File

BROWSE_DETAIL_LANG: English

BROWSE_DETAIL_CREATORS: Erhan, İnci (Author), Roldán, Antonio Francisco (Author), de Hierro, López (Author), Shahzad, Naseer (Author),

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BROWSE_DETAIL_TAB_KEYWORDS

fixed point; coupled coincidence point; ordered metric space


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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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Erhan et al. Journal of Inequalities and Applications (2015) 2015:52


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