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318 results on '"Hierro, Antonio"'

4. Fuzzy ample spectrum contractions in (more general than) non-Archimedean fuzzy metric spaces

Author

de Hierro, Antonio Francisco Roldán López, Karapınar, Erdal, and Shahzad, Naseer

Subjects
Mathematics - General Mathematics, 47H10, 47H09, 54H25, 46T99
Abstract

Taking into account that Rold\'an et al.'s ample spectrum contractions have managed to extend and unify more than ten distinct families of contractive mappings in the setting of metric spaces, in this manuscript we present a first study on how such concept can be implemented in the more general framework of fuzzy metric spaces in the sense of Kramosil and Mich\'alek. We introduce two distinct approaches to the concept of fuzzy ample spectrum contractions and we prove general results about existence and uniqueness of fixed points. The proposed notions enjoys the following advantages with respect to previous approaches: (1) they permit to develop fixed point theory in a very general fuzzy framework (for instance, the underlying fuzzy space is not necessarily complete); (2) the procedures that we employ are able to overcome the technical drawbacks raising in fuzzy metric spaces in the sense of Kramosil and Mich\'alek (that do not appear in fuzzy metric spaces in the sense of George and Veeramani); (3) we introduce a novel property about sequences that are not Cauchy in a fuzzy space in order to consider a more general context than non-Archimedean fuzzy metric spaces; (4) the contractivity condition associated to fuzzy ample spectrum contractions does not have to be expressed in separate variables; (5) such fuzzy contractions generalize some well-known families of fuzzy contractive operators such that the class of all Mihet's fuzzy $\psi$-contractions. As a consequence of these properties, this study gives a positive partial answer to a question posed by this author some years ago.

Published
2021

5. Admissible OWA operators for fuzzy numbers

Author

García-Zamora, Diego, Cruz, Anderson, Neres, Fernando, Santiago, Regivan H.N., Roldán López de Hierro, Antonio F., Paiva, Rui, Dimuro, Graçaliz. P., Martínez, Luis, Bedregal, Benjamín, and Bustince, Humberto

Published
2024
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10. Description and Properties of Curve-Based Monotone Functions

Author

Sesma-Sara, Mikel, De Miguel, Laura, Roldán López de Hierro, Antonio Francisco, Špirková, Jana, Mesiar, Radko, Bustince, Humberto, Kacprzyk, Janusz, Series Editor, Pal, Nikhil R., Advisory Editor, Bello Perez, Rafael, Advisory Editor, Corchado, Emilio S., Advisory Editor, Hagras, Hani, Advisory Editor, Kóczy, László T., Advisory Editor, Kreinovich, Vladik, Advisory Editor, Lin, Chin-Teng, Advisory Editor, Lu, Jie, Advisory Editor, Melin, Patricia, Advisory Editor, Nedjah, Nadia, Advisory Editor, Nguyen, Ngoc Thanh, Advisory Editor, Wang, Jun, Advisory Editor, Halaš, Radomír, editor, Gagolewski, Marek, editor, and Mesiar, Radko, editor

Published
2019
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17. Recent Motivating Fixed Point Theory

Author

Agarwal, Ravi P., Karapınar, Erdal, O’Regan, Donal, Roldán-López-de-Hierro, Antonio Francisco, Agarwal, Ravi P., Karapınar, Erdal, O’Regan, Donal, and Roldán-López-de-Hierro, Antonio Francisco

Published
2015
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18. Expansive Mappings

Author

Agarwal, Ravi P., Karapınar, Erdal, O’Regan, Donal, Roldán-López-de-Hierro, Antonio Francisco, Agarwal, Ravi P., Karapınar, Erdal, O’Regan, Donal, and Roldán-López-de-Hierro, Antonio Francisco

Published
2015
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22. Preliminaries

Author

Agarwal, Ravi P., Karapınar, Erdal, O’Regan, Donal, Roldán-López-de-Hierro, Antonio Francisco, Agarwal, Ravi P., Karapınar, Erdal, O’Regan, Donal, and Roldán-López-de-Hierro, Antonio Francisco

Published
2015
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26. Introduction with a Brief Historical Survey

Author

Agarwal, Ravi P., Karapınar, Erdal, O’Regan, Donal, Roldán-López-de-Hierro, Antonio Francisco, Agarwal, Ravi P., Karapınar, Erdal, O’Regan, Donal, and Roldán-López-de-Hierro, Antonio Francisco

Published
2015
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27. G-Metric Spaces

Author

Agarwal, Ravi P., Karapınar, Erdal, O’Regan, Donal, Roldán-López-de-Hierro, Antonio Francisco, Agarwal, Ravi P., Karapınar, Erdal, O’Regan, Donal, and Roldán-López-de-Hierro, Antonio Francisco

Published
2015
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28. Reconstruction of G-Metrics: G ∗-Metrics

Author

Agarwal, Ravi P., Karapınar, Erdal, O’Regan, Donal, Roldán-López-de-Hierro, Antonio Francisco, Agarwal, Ravi P., Karapınar, Erdal, O’Regan, Donal, and Roldán-López-de-Hierro, Antonio Francisco

Published
2015
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30. Quantifying External Information in Social Network Analysis: An Application to Comparative Mythology

Author

Fumanal-Idocin, Javier, Cordon, Oscar, Dimuro, Gracaliz Pereira, Lopez-de-Hierro, Antonio-Francisco Roldan, and Bustince, Humberto

Abstract

Social network analysis is a popular tool to understand the relationships between interacting agents by studying the structural properties of their connections. However, this kind of analysis can miss some of the domain-specific knowledge available in the original information domain and its propagation through the associated network. In this work, we develop an extension of classical social network analysis to incorporate external information from the original source of the network. With this extension we propose a new centrality measure, the semantic value, and a new affinity function, the semantic affinity, that establishes fuzzy-like relationships between the different actors in the network. We also propose a new heuristic algorithm based on the shortest capacity problem to compute this new function. As an illustrative case study, we use the novel proposals to analyze and compare the gods and heroes from three different classical mythologies: 1) Greek; 2) Celtic; and 3) Nordic. We study the relationships of each individual mythology and those of the common structure that is formed when we fuse the three of them. We also compare our results with those obtained using other existing centrality measures and embedding approaches. In addition, we test the proposed measures on a classical social network, the Reuters terror news network, as well as in a Twitter network related to the COVID-19 pandemic. We found that the novel method obtains more meaningful comparisons and results than previous existing approaches in every case.

Published
2024
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38. Matkowski theorems in the context of quasi-metric spaces and consequences on G-metric spaces

Author

Karapιnar Erdal, Roldán-López-de-Hierro Antonio-Francisco, and Samet Bessem

Subjects
fixed point, contractivity condition, quasi-metric space, g-metric space, primary 47h10, 54h25, secondary 47h05, 65j15, Mathematics, QA1-939
Abstract

In this paper, we prove the characterization of a Matkowski's theorem in the setting of quasi-metric spaces. As a result, we observe that some recent fixed point results in the context of G-metric spaces are

Published
2016
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