Browsing by Author "Martinez-Moreno, Juan"

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Citation - WoS: 171
Citation - Scopus: 189
Coincidence Point Theorems on Metric Spaces via Simulation Functions
(Elsevier Science Bv, 2015) Roldan-Lopez-de-Hierro, Antonio-Francisco; Karapinar, Erdal; Roldan-Lopez-de-Hierro, Concepcion; Martinez-Moreno, Juan
Due to its possible applications, Fixed Point Theory has become one of the most useful branches of Nonlinear Analysis. In a very recent paper, Khojasteh et al. introduced the notion of simulation function in order to express different contractivity conditions in a unified way, and they obtained some fixed point results. In this paper, we slightly modify their notion of simulation function and we investigate the existence and uniqueness of coincidence points of two nonlinear operators using this kind of control functions. (C) 2014 Elsevier B.V. All rights reserved.
Citation - WoS: 34
Citation - Scopus: 43
Meir-Keeler Type Multidimensional Fixed Point Theorems in Partially Ordered Metric Spaces
(Hindawi Ltd, 2013) Karapinar, Erdal; Roldan, Antonio; Martinez-Moreno, Juan; Roldan, Concepcion
We 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.
Citation - WoS: 11
Citation - Scopus: 5
A Note on 'n-fixed Point Theorems for Nonlinear Contractions in Partially Ordered Metric Spaces'
(Springer int Publ Ag, 2013) Karapinar, Erdal; Roldan, Antonio; Roldan, Concepcion; Martinez-Moreno, Juan
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.