Browsing by Author "Martinez-Moreno, Juan"

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    Article
    Citation - WoS: 169
    Citation - Scopus: 187
    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; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
    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.
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    Article
    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; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
    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.
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    Article
    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; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
    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.