An approach version of fuzzy metric spaces including an ad hoc fixed point theorem

In this paper, inspired by two very different, successful metric theories such us the real view-point of Lowen's approach spaces and the probabilistic field of Kramosil and Michalek's fuzzymetric spaces, we present a family of spaces, called fuzzy approach spaces, that are appropriate to handle, at the same time, both measure conceptions. To do that, we study the underlying metric interrelationships between the above mentioned theories, obtaining six postulates that allow us to consider such kind of spaces in a unique category. As a result, the natural way in which metric spaces can be embedded in both classes leads to a commutative categorical scheme. Each postulate is interpreted in the context of the study of the evolution of fuzzy systems. First properties of fuzzy approach spaces are introduced, including a topology. Finally, we describe a fixed point theorem in the setting of fuzzy approach spaces that can be particularized to the previous existing measure spaces.

Lengua y derecho a la educación en la Comunidad Autónoma del País Vasco : reflexiones jurídicas sobre el tránsito hacia un nuevo modelo

The article analyzes the legal regime of Euskara in the education system of the Autonomous Community of the Basque Country (capv). In the capv, the legislation recognizes the right to choose the language of study during the educational cycle. The students are separated into different classrooms based on their language preference. This system of separation (of language models) has made it possible to make great strides, although its implementation also suggests aspects which, from the perspective of a pluralistic Basque society on its way towards greater social, political and language integration, call for further reflection The general model for language planning in the capv was fashioned in the eighties as a model characterized by the guarantee of spaces of language freedom, and the educational system was charged with making the learning of the region’s autochthonous language more widespread. At this point, we already have a fair degree of evidence on which to base an analysis of the system of language models and we are in a position to conclude that perhaps the educational system was given too heavy a burden. Official studies on language performance of Basque schoolchildren show (in a way that is now fully verified) that not all the students who finish their mandatory period of schooling achieve the level of knowledge of Euskara required by the regulations. When faced with this reality, it becomes necessary for us to articulate some alternative to the current configuration of the system of language models, one that will make it possible in the future to have a Basque society that is linguistically more integrated, thereby avoiding having the knowledge or lack of knowledge of one of the official languages become a language barrier between two communities. Many sides have urged a reconsideration of the system of language models. The Basque Parliament itself has requested the Department of Education to design a new system. This article analyzes the legal foundations on which the current system is built and explores the potential avenues for legal cooperation that would make it possible to move towards a new system aimed at guaranteeing higher rates of bilingualism. The system would be sufficiently flexible so as to be able to respond to and accommodate the different sociolinguistic realities of the region.

"Verwundete Orte" in Hettches Nox und Pareis Die Schattenboxerin

[EN] Body and space play a determinant role in the formation of societies, according to the social analyst Richard Sennet. His thesis that the configuration of spaces in history, such as that of the cities, is closely linked to the perception of the own body offers a relevant theorethical approach for the analysis of Nox (1995) by Thomas Hettche and Die Schattenboxerin (1999) by Inka Parei. In both novels bodies are perceived conscientiously by the self as a wounded and exhausted “I”, but also as a rebellious and fighting “self”. Both novels offer a concept of the body as an inadequate and wounded space, which is actually a key procedure to successfully face the similarly unstable geographical, social and political context of Germany after the Fall of the Berlin Wall.

Evolución y progreso de las asociaciones de desarrollo rural en Gipuzkoa, un modelo necesitado de mayor autonomía y apoyo institucional

[ES] Tras dos décadas dedicadas a la promoción de los espacios rurales las Asociaciones de Desarrollo Rural de Gipuzkoa se han convertido en el vehículo prioritario para el progreso de este tipo de espacios. Su trayectoria ha estado marcada por toda una sucesión de programas con objetivos diversos y directrices políticas y presupuestarias diferentes. Como consecuencia se ha creado un modelo de dinamización rural centrado en la comarca y caracterizado por la diversidad de acciones que aborda y por su capacidad para incorporar nuevos campos, por su alto grado de implicación en la coordinación, ejecución e incluso gestión de servicios y por su capacidad de incorporar actores al desarrollo de los espacios rurales. A pesar de lo acertado del modelo éste aún tiene asignaturas pendientes, especialmente su dependencia de la decisiones políticas que en cada momento se toman y como consecuencia su falta de autonomía, la excesiva ligazón que aún presenta con el que fue el objeto inicial de estas Asociaciones, la realización de infraestructuras y especialmente el estrépito fracaso que ha tenido su pretensión de incorporar a otras instituciones y departamentos además de los propiamente agrarios.

Inpedantzia altuko babes diferentziala.

[EU]Inpedantzia altuko babes sistema teknika sinplea da non korronte transformadoreak behar dituen babes eskema osatzeko. Korronte transformadore hauek ukondoko tentsio altua, magnetizazio ezaugarri antzekoak eta transformazio erlazio berdina izan behar dute. KT guztiak babestutako objektuaren amaieran jarri behar dira. Fase bakoitzari dagozkion KT guztiak paraleloan konektatu behar dira eta KT guztien juntura puntuan neurri adarra jarri behar da.

Propuesta de intervención de actividad física contra el sedentarismo en lonjas juveniles del barrio bilbaino de Zorrotza

[ES] Con el presente estudio descriptivo se pretende obtener los siguientes objetivos: reunir la mayor bibliografía posible sobre las lonjas juveniles. Conocer estos tipos de espacios y qué actividades son las que se realizan en ellos. Tomando como punto de partida la observación de una lonja ubicada en el barrio Bilbaíno de Zorroza, se analizarán los comportamientos que se dan en estos espacios. Además se pretende ofrecer terminología sobre la juventud de hoy en día y las actividades de ocio en las que participan. Los estudios previos destacan un elevado consumo de drogas seguido de hábitos sedentarios. Al mismo tiempo, se presenta una propuesta de intervención en estos espacios y poder así ofrecer alternativas de ocio contra el sedentarismo a medio y largo plazo. Se espera de este trabajo que nos ofrezca más información sobre las actividades que se realizan en las lonjas juveniles y el tipo de drogas que más se consumen ellas, así como la frecuencia con la que se consumen.

Administración penitenciaria: el tratamiento penitenciario como medio necesario para la reeducacion y reinserción social

[ES]Este trabajo se basa en la eficacia del tratamiento penitenciario para los fines de la pena, es decir, la reeducación y reinserción social. Para ello se llevara a cabo una revisión bibliográfica de los diferentes estudios realizados y dos entrevistas personales. Trataremos pues, de determinar si el tratamiento penitenciario contribuye de forma satisfactoria a los fines de la pena y si éste se está llevando de manera eficaz en nuestros centros penitenciarios.

Fixed Points of Closed and Compact Composite Sequences of Operators and Projectors in a Class of Banach Spaces

Some results on fixed points related to the contractive compositions of bounded operators in a class of complete metric spaces which can be also considered as Banach's spaces are discussed through the paper. The class of composite operators under study can include, in particular, sequences of projection operators under, in general, oblique projective operators. In this paper we are concerned with composite operators which include sequences of pairs of contractive operators involving, in general, oblique projection operators. The results are generalized to sequences of, in general, nonconstant bounded closed operators which can have bounded, closed, and compact limit operators, such that the relevant composite sequences are also compact operators. It is proven that in both cases, Banach contraction principle guarantees the existence of unique fixed points under contractive conditions.

On a Class of Self-Adjoint Compact Operators in Hilbert Spaces and Their Relations with Their Finite-Range Truncations

This paper investigates a class of self-adjoint compact operators in Hilbert spaces related to their truncated versions with finite-dimensional ranges. The comparisons are established in terms of worst-case norm errors of the composite operators generated from iterated computations. Some boundedness properties of the worst-case norms of the errors in their respective fixed points in which they exist are also given. The iterated sequences are expanded in separable Hilbert spaces through the use of numerable orthonormal bases.

Common Fixed Points of Generalized Rational Type Cocyclic Mappings in Multiplicative Metric Spaces

The aim of this paper is to present fixed point result of mappings satisfying a generalized rational contractive condition in the setup of multiplicative metric spaces. As an application, we obtain a common fixed point of a pair of weakly compatible mappings. Some common fixed point results of pair of rational contractive types mappings involved in cocyclic representation of a nonempty subset of a multiplicative metric space are also obtained. Some examples are presented to support the results proved herein. Our results generalize and extend various results in the existing literature.

Approximate Best Proximity Points of Cyclic Self-maps in Metric Spaces and Cyclic Asymptotic Regularity

3rd International Conference on Mathematical Modeling in Physical Sciences (IC-MSQUARE) Madrid, AUG 28-31, 2014 / editado por Vagenas, EC; Vlachos, DS; Bastos, C; Hofer, T; Kominis, Y; Kosmas, O; LeLay, G; DePadova, P; Rode, B; Suraud, E; Varga, K

Convergence Properties and Fixed Points of Two General Iterative Schemes with Composed Maps in Banach Spaces with Applications to Guaranteed Global Stability

This paper investigates the boundedness and convergence properties of two general iterative processes which involve sequences of self-mappings on either complete metric or Banach spaces. The sequences of self-mappings considered in the first iterative scheme are constructed by linear combinations of a set of self-mappings, each of them being a weighted version of a certain primary self-mapping on the same space. The sequences of self-mappings of the second iterative scheme are powers of an iteration-dependent scaled version of the primary self-mapping. Some applications are also given to the important problem of global stability of a class of extended nonlinear polytopic-type parameterizations of certain dynamic systems.