2 citations · 4 across the 6 of their papers we have counts for
6 papers
Generalized Banach contraction in probabilistic metric/normed spaces
Bernardo Lafuerza-Guillen, Mohd Rafi
In this paper, we present the generalization of B-contraction and C-contraction due to Sehgal and Hicks respectively. We also study some properties of C-contraction in probabilisti…
Quotient probabilistic normed spaces and completeness results
Bernardo Lafuerza-Guillen, Donal O'Regan, Reza Saadati
We introduce the concept of quotient in PN spaces and give some examples. We prove some theorems with regard to the completeness of a quotient.
Translation-invariant generalized topologies induced by probabilistic norms
Bernardo Lafuerza-Guillen, Jose L. Rodriguez
In this paper we consider probabilistic normed spaces as defined by Alsina, Sklar, and Schweizer, but equipped with non necessarily continuous triangle functions. Such spaces endow…
Normability of Probabilistic Normed Spaces
Bernardo Lafuerza--Guillen, Jose Antonio Rodriguez--Lallena, Carlo Sempi
Relying on Kolmogorov's classical characterization of normable Topological Vector spaces, we study the normability of those Probabilistic Normed Spaces that are also Topological Ve…
Boundedness in generalized Šerstnev PN spaces
Bernardo Lafuerza-Guillen, Jose L. Rodriguez
The motivation of this paper is a suggestion by Höle of comparing the notions of $\D$-boundedness and boundedness in Probabilistic Normed spaces (briefly PN spaces), with non neces…
Finite and countable infinite products of Probabilistic Normed Spaces
Bernardo Lafuerza-Guillen
In this work we first give for PN spaces results parallel to those obtained by Egbert for the product of PM spaces, and generalize results by Alsina and Schweizer in order to study…