Coincidence point theorems in quasi-metric spaces without assuming the mixed monotone property and consequences in G-metric spaces
Date
2014-12-08
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Abstract
In this paper, we present some coincidence point theorems in the setting of
quasi-metric spaces that can be applied to operators which not necessarily have the
mixed monotone property. As a consequence, we particularize our results to the field
of metric spaces, partially ordered metric spaces and G-metric spaces, obtaining some
very recent results. Finally, we show how to use our main theorems to obtain coupled,
tripled, quadrupled and multidimensional coincidence point results.
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mathematics