Popa, Valeriu; Patriciu, Alina-Mihaela(Universitat Politècnica de València, 2015-10-01)
[EN] In this paper, two general fixed point theorem for a sequence of mappings satisfying implicit relations in Gp - complete metric spaces are proved.
Protasov, Igor V.; Slobodianiuk, Serhii(Universitat Politècnica de València, 2016-10-01)
[EN] We consider the action of a group $G$ on the family $\mathcal{P}(G)$ of all subsets of $G$ by the right shifts $A\mapsto Ag$ and give the dynamical characterizations of thin, $n$-thin, sparse and scattered subsets.For ...
Comfort, Wistar; Gould, Franklin R.(Universitat Politècnica de València, 2016-10-01)
[EN] A Hausdorff topological group G=(G,T) has the small subgroup generating property (briefly: has the SSGP property, or is an SSGP group) if for each neighborhood U of $1_G$ there is a family $\sH$ of subgroups of $G$ ...
Haouati, Afef; Lazaar, Sami(Universitat Politècnica de València, 2015-10-01)
[EN] In [3], the author has introduced the notion of primal spaces.The present paper is devoted to shedding some light on relations between quasihomeomorphisms and primal spaces.Given a quasihomeomorphism q from X to Y , ...