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Dive into the research topics where Antonio Roldán is active.

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Featured researches published by Antonio Roldán.


Abstract and Applied Analysis | 2013

Meir-Keeler Type Multidimensional Fixed Point Theorems in Partially Ordered Metric Spaces

Erdal Karapınar; Antonio Roldán; Juan Martínez-Moreno; C. Roldán

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.


Abstract and Applied Analysis | 2013

Multidimensional Fixed-Point Theorems in Partially Ordered Complete Partial Metric Spaces under ()-Contractivity Conditions

Antonio Roldán; Juan Martínez-Moreno; C. Roldán; Erdal Karapınar

We study the existence and uniqueness of coincidence point for nonlinear mappings of any number of arguments under a weak ( )-contractivity condition in partial metric spaces. The results we obtain generalize, extend, and unify several classical and very recent related results in the literature in metric spaces (see Aydi et al. (2011), Berinde and Borcut (2011), Gnana Bhaskar and Lakshmikantham (2006), Berzig and Samet (2012), Borcut and Berinde (2012), Choudhury et al. (2011), Karapinar and Luong (2012), Lakshmikantham and Ciric (2009), Luong and Thuan (2011), and Roldan et al. (2012)) and in partial metric spaces (see Shatanawi et al. (2012)).


Fixed Point Theory and Applications | 2013

Some multidimensional fixed point theorems on partially preordered G∗-metric spaces under (ψ,φ)-contractivity conditions

Antonio Roldán; Erdal Karapınar

In this paper we present some (unidimensional and) multidimensional fixed point results under (ψ,φ)-contractivity conditions in the framework of G∗-metric spaces, which are spaces that result from G-metric spaces (in the sense of Mustafa and Sims) omitting one of their axioms. We prove that these spaces let us consider easily the product of G∗-metrics. Our result clarifies and improves some recent results on this topic because, among other different reasons, we will not need a partial order on the underlying space. Furthermore, the way in which several contractivity conditions are proposed imply that our theorems cannot be reduced to metric spaces.MSC: 46T99, 47H10, 47H09, 54H25.


Fuzzy Sets and Systems | 2014

Multidimensional coincidence point results for compatible mappings in partially ordered fuzzy metric spaces

Antonio Roldán; Juan Martínez-Moreno; Concepción Roldán; Yeol Je Cho

In recent times, coupled, tripled and quadruple fixed point theorems have been intensively studied by many authors in the context of partially ordered complete metric spaces using different contractivity conditions. Roldan et al. showed a unified version of these results for nonlinear mappings in any number of variables (which were not necessarily permuted or ordered) introducing the notion of multidimensional coincidence point. Very recently, Choudhury et al. proved coupled coincidence point results in the context of fuzzy metric spaces in the sense of George and Veeramani. In this paper, using the idea of coincidence point for nonlinear mappings in any number of variables, we study a fuzzy contractivity condition to ensure the existence of coincidence points in the framework of fuzzy metric spaces provided with Hadzic type t-norms. Then, we present an illustrative example in which our methodology leads to the existence of coincidence points but previous theorems cannot be applied.


Fixed Point Theory and Applications | 2014

Discussion of coupled and tripled coincidence point theorems for φ-contractive mappings without the mixed g-monotone property

Erdal Karapınar; Antonio Roldán; Naseer Shahzad; Wutiphol Sintunavarat

AbstractAfter the appearance of Ran and Reuring’s theorem and Nieto and Rodríguez-López’s theorem, the field of fixed point theory applied to partially ordered metric spaces has attracted much attention. Coupled, tripled, quadrupled and multidimensional fixed point results has been presented in recent times. One of the most important hypotheses of these theorems was the mixed monotone property. The notion of invariant set was introduced in order to avoid the condition of mixed monotone property, and many statements have been proved using these hypotheses. In this paper we show that the invariant condition, together with transitivity, lets us to prove in many occasions similar theorems to which were introduced using the mixed monotone property. MSC:46T99, 47H10, 47H09, 54H25.


Fixed Point Theory and Applications | 2013

F-closed sets and coupled fixed point theorems without the mixed monotone property

Marwan Amin Kutbi; Antonio Roldán; Wutiphol Sintunavarat; Juan Martínez-Moreno; Concepción Roldán

In this paper we present the notion of F-closed set (which is weaker than the concept of F-invariant set introduced in Samet and Vetro (Ann. Funct. Anal. 1:46-56, 2010), and we prove some coupled fixed point theorems without the condition of mixed monotone property. Furthermore, we interpret the transitive property as a partial preorder and, then, some results in that paper and in Sintunavarat et al. (Fixed Point Theory Appl. 2012:170, 2012) can be reduced to the unidimensional case.MSC:46T99, 47H10, 47H09, 54H25.


soft computing | 2012

A fuzzy regression model based on distances and random variables with crisp input and fuzzy output data: a case study in biomass production

C. Roldán; Antonio Roldán; Juan Martínez-Moreno

Least-squares technique is well-known and widely used to determine the coefficients of a explanatory model from observations based on a concept of distance. Traditionally, the observations consist of pairs of numeric values. However, in many real-life problems, the independent or explanatory variable can be observed precisely (for instance, the time) and the dependent or response variable is usually described by approximate values, such as “about


Journal of Inequalities and Applications | 2013

A note on ‘ n -tuplet fixed point theorems for contractive type mappings in partially ordered metric spaces’

Erdal Karapınar; Antonio Roldán


Journal of Computational and Applied Mathematics | 2015

Multidimensional fixed point theorems under ( ψ , Φ ) -contractive conditions in partially ordered complete metric spaces

Antonio Roldán; Juan Martínez-Moreno; Concepción Roldán; Yeol Je Cho

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Fixed Point Theory and Applications | 2013

A note on 'N-fixed point theorems for nonlinear contractions in partially ordered metric spaces'

Erdal Karapınar; Antonio Roldán; Concepción Roldán; Juan Martínez-Moreno

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Yeol Je Cho

King Abdulaziz University

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M. De la Sen

University of the Basque Country

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Manuel de la Sen

University of the Basque Country

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