Browsing by Author "Roldan, Concepcion"
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Article Citation Count: 32Meir-Keeler Type Multidimensional Fixed Point Theorems in Partially Ordered Metric Spaces(Hindawi Ltd, 2013) Karapınar, Erdal; Roldan, Antonio; Martinez-Moreno, Juan; Roldan, Concepcion; MathematicsWe study the existence and uniqueness of a fixed point of the multidimensional operators which satisfy Meir-Keeler type contraction condition. Our results extend, improve, and generalize the results mentioned above and the recent results on these topics in the literature.Article Citation Count: 11A note on 'N-fixed point theorems for nonlinear contractions in partially ordered metric spaces'(Springer int Publ Ag, 2013) Karapınar, Erdal; Roldan, Antonio; Roldan, Concepcion; Martinez-Moreno, Juan; MathematicsIn this note we prove that a kind of mappings depending on k arguments introduced in (Paknazar et al. in Fixed Point Theory Appl. 2013: 111, 2013) only depend on their first argument. Therefore, results in that paper reduce to the unidimensional case. We also include some commentaries about the different notions of multidimensional fixed point.