Valero, Oscar(Universitat Politècnica de València, 2005-10-01)
[EN] In this paper we prove several generalizations of the Banach fixed point theorem for partial metric spaces (in the sense of O’Neill) given in, obtaining as a particular case of our results the Banach fixed point theorem ...
Sánchez-Álvarez, José Manuel(Universitat Politècnica de València, 2005-10-01)
[EN] In a recent paper, S. Romaguera and M. Sanchis discussed several properties of semi-Lipschitz real valued functions. In this paper we analyze the structure of the space of semi-Lipschitz functions that are valued in ...
Künzi, Hans-Peter A.; Richmond, Thomas A.(Universitat Politècnica de València, 2005-10-01)
[EN] We present a construction which shows that the Ti-ordered reflection (i ϵ {0, 1, 2}) of a partially ordered topological space (X, , τ, ≤) exists and is an ordered quotient of (X, τ, ≤). We give an explicit construction ...
Oltra, S.; Romaguera, Salvador; Sánchez-Pérez, E.A.(Universitat Politècnica de València, 2005-10-01)
[EN] In this paper we introduce the notion of canonical partial metric associated to a norm to study geometric properties of normed spaces. In particular, we characterize strict convexity and uniform convexity of normed ...
Georgiou, D.N.; Iliadis, S.D.(Universitat Politècnica de València, 2005-10-01)
[EN] In this paper, on the family O(Y ) of all open subsets of a space Y (actually on a complete lattice) we define the so called strong v-Scott topology, denoted by τ8v, where v is an infinite cardinal. This topology ...