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  • Article
    Citation - WoS: 16
    Citation - Scopus: 19
    Fixed Point Theorems in Quasi-Metric Spaces and Applications To Multidimensional Fixed Point Theorems on g-metric Spaces
    (Yokohama Publ, 2015) Agarwal, Ravi; Karapinar, Erdal; Roldan-Lopez-De-Hierro, Antonio-Francisco; Mathematics
    In this manuscript, we investigate the equivalence of the coupled fixed point theorems in quasi-metric spaces and in G-metric spaces. We also notice that coupled fixed point theorems in the setting of G-metric spaces can be derived from their corresponding versions in quasi-metric spaces. Our results generalize and unify several fixed point theorems in the context of G-metric spaces in the literature.
  • Article
    Citation - WoS: 47
    Citation - Scopus: 52
    Some Remarks on Multidimensional Fixed Point Theorems
    (House Book Science-casa Cartii Stiinta, 2014) Roldan, A.; Martinez-Moreno, J.; Roldan, C.; Karapinar, E.; Mathematics
    In this paper, we show that most of the multidimensional (including coupled, tripled, quadrupled) fixed point theorems in the context of (ordered) metric spaces are, in fact, immediate consequences of well-known fixed point theorems in the literature.