Coincidence point theorems in quasi-metric spaces without assuming the mixed monotone property and consequences in G-metric spaces

Karapınar, ErdalRoldán, Antonio-franciscoKarapınar, ErdalDe La Sen, ManuelMathematics2024-07-082024-07-082014https://hdl.handle.net/20.500.14411/6460In 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.enmathematicsCoincidence point theorems in quasi-metric spaces without assuming the mixed monotone property and consequences in G-metric spacesArticle