A Note on '<i>n</i>-fixed Point Theorems for Nonlinear Contractions in Partially Ordered Metric Spaces'
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Date
2013
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Springer int Publ Ag
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Abstract
In 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.
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KARAPINAR, ERDAL/0000-0002-6798-3254; Roldán López de Hierro, Antonio Francisco/0000-0002-6956-4328; Roldan Lopez De Hierro, Concepcion Beatriz/0000-0001-7732-3041; MARTINEZ-MORENO, JUAN/0000-0002-3340-2781
Keywords
partially ordered set, fixed point, contractive mapping, mixed monotone property