[EN] Hu proved in [4] that a metric space (X, d) is complete if and only if for
any closed subspace C of (X, d), every Banach contraction on C has
fixed point. Since then several authors have investigated the problem
of ...
Miñana, Juan José(Editorial Universitat Politècnica de València, 2017-10-23)
[EN] We will present an overview on the results appeared in the literature
about the study of those functions that preserve or transform a generalized metric.
[EN] In this paper we focus our attention on exploring the aggregation of relaxed indistinguishability operators. Concretely we characterize, in terms of triangular triplets with respect to a t-norm, those functions that ...
Gálvez-Rodríguez, José Fulgencio; Sánchez Granero, Miguel Ángel(Editorial Universitat Politècnica de València, 2017-10-23)
[EN] In this work we show how to define a probability measure with the
help of a fractal structure. One of the keys of this approach is to use
the completion of the fractal structure. Then we use the theory of a
cumulative ...
Fernández-Martínez, Manuel; Sánchez-Granero, Miguel Ángel(Editorial Universitat Politècnica de València, 2017-10-23)
[EN] In this paper, we deal with a classical problem in Fractal Geometry consisting of the calculation of the similarity dimension of IFS-attractors.
The open set condition allows to easily calculate their similarity ...