Search results for " spaces"
showing 10 items of 360 documents
Common fixed points in cone metric spaces for CJM-pairs
2011
Abstract In this paper we introduce some contractive conditions of Meir–Keeler type for two mappings, called f - M K -pair mappings and f - C J M -pair (from Ciric, Jachymski, and Matkowski) mappings, in the framework of regular cone metric spaces and we prove theorems which guarantee the existence and uniqueness of common fixed points. We give also a fixed point result for a multivalued mapping that satisfies a contractive condition of Meir–Keeler type. These results extend and generalize some recent results from the literature. To conclude the paper, we extend our main result to non-regular cone metric spaces by using the scalarization method of Du.
On fuzzification of topological categories
2014
This paper shows that (L,M)-fuzzy topology of U. Hohle, T. Kubiak and A. Sostak is an instance of a general fuzzification procedure for topological categories, which amounts to the construction of a new topological category from a given one. This fuzzification procedure motivates a partial dualization of the machinery of tower extension of topological constructs of D. Zhang, thereby providing the procedure of tower extension of topological categories. With the help of this dualization, we arrive at the meta-mathematical result that the concept of (L,M)-fuzzy topology and the notion of approach space of R. Lowen are ''dual'' to each other.
Invariant approximation results in cone metric spaces
2011
Some sufficient conditions for the existence of fixed point of mappings satisfying generalized weak contractive conditions is obtained. A fixed point theorem for nonexpansive mappings is also obtained. As an application, some invariant approximation results are derived in cone metric spaces.
Non absolutely convergent integrals of functions taking values in a locally convex space
2006
Properties of McShane and Kurzweil-Henstock integrable functions taking values in a locally convex space are considered and the relations with other integrals are studied. A convergence theorem for the Kurzweil-Henstock integral is given
Riemann type integrals for functions taking values in a locally convex space
2006
The McShane and Kurzweil-Henstock integrals for functions taking values in a locally convex space are defined and the relations with other integrals are studied. A characterization of locally convex spaces in which Henstock Lemma holds is given.
El aula como caja de resonancia para la creación sonora: nuevas arquitecturas y herramientas tecnológicas para acercar el arte sonoro al ámbito educa…
2019
RESUMEN: Este artículo reflexiona sobre la importancia de repensar los espacios que habitamos de acuerdo con la idea de que el mundo físico y el digital interactúen de manera natural. A partir de esta premisa, y en el ámbito educativo-musical, las prácticas desarrolladas en el MusicLAB CR-209 del IES Arabista Ribera de Carcaixent (Valencia) son una muestra de cómo estas nuevas arquitecturas pueden favorecer el desarrollo de la creatividad. Acorde con las posibilidades que ofrece la tecnología actual, esta aula laboratorio está concebido como un espacio para la experimentación y la improvisación. El objeto de este artículo es describir ?La Máquina Interestelar?, una propuesta pedagógica inte…
Spaces of Identity: Gender, Ethnicity, and Race in Salome of the Tenements (1923) and Quicksand (1928)
2018
Abstract The 1920s marked a fervent time for artistic and literary expression in the United States. Besides the famous authors of the decade, including F. Scott Fitzgerald, Ernest Hemingway, and William Faulkner, Anzia Yezierska and Nella Larsen, among other female writers, also managed to carve “a literary space” for their stories. Yezierska and Larsen depicted the struggles and tribulations of minority women during the fermenting 1920s, with a view to illustrating the impact of ethnicity and race on the individual female identity. Yezierska, a Jewish-American immigrant, and Larsen, a biracial American woman, share an interest in capturing the nuances of belonging to a particular community…
Sub-Symbolic Mapping of Cyc Microtheories in Data-Driven 'Conceptual' Spaces
2007
The presented work aims to combine statistical and cognitive-oriented approaches with symbolic ones so that a conceptual similarity relationship layer can be added to a Cyc KB microtheory. Given a specific microtheory, a LSA-inspired conceptual space is inferred from a corpus of texts created using both ad hoc extracted pages from the Wikipedia repository and the built-in comments about the concepts of the specific Cyc microtheory. Each concept is projected in the conceptual space and the desired layer of sub-symbolic relationships between concepts is created. This procedure can help a user in finding the concepts that are "sub-symbolically conceptually related" to a new concept that he wan…
Bacteria and free-living amoeba in the Lascaux Cave.
2008
3 pages, 1 table, 18 references. The collaboration of the Lascaux restoration team is highly appreciated. We thank Marisa Chelius for valuable comments on the manuscript.
An Application of the Fixed Point Theory to the Study of Monotonic Solutions for Systems of Differential Equations
2020
In this paper, we establish some conditions for the existence and uniqueness of the monotonic solutions for nonhomogeneous systems of first-order linear differential equations, by using a result of the fixed points theory for sequentially complete gauge spaces.