Georgiou, D.N.(Universitat Politècnica de València, 2009-04-01)
[EN] Let Y and Z be two fixed topological spaces, O(Z) the family of all open subsets of Z, C(Y,Z) the set of all continuous maps from Y to Z, and OZ(Y ) the set {f−1(U) : f ϵ C(Y,Z) and U ϵ O(Z)}. In this paper, we give ...
Beer, Gerald; Segura, Manuel(Universitat Politècnica de València, 2009-04-01)
[EN] Given a continuous nonnegative functional λ that makes sense defined on an arbitrary metric space (X, d), one may consider those spaces in which each sequence (xn) for which lim n→∞λ(xn) = 0 clusters. The compact ...
Singh, S.L.; Hematulin, Apichai; Pant, Rajendra(Universitat Politècnica de València, 2009-04-01)
[EN] In this paper, we obtain some extensions and a generalization of a remarkable fixed point theorem of Proinov. Indeed, we obtain some coincidence and fixed point theorems for asymptotically regular non-self and self-maps ...
Dikranjan, Dikran; Giordano Bruno, Anna(Universitat Politècnica de València, 2009-04-01)
[EN] Semitopological isomorphisms of topological groups were introduced by Arnautov [2], who posed several questions related to compositions of semitopological isomorphisms and about the groups G (we call them Arnautov ...
Kohli, J.K.; Singh, D.; Aggarwal, Jeetendra(Universitat Politècnica de València, 2009-04-01)
[EN] A strong variant of continuity called ‘F-supercontinuity’ is introduced. The class of F-supercontinuous functions strictly contains the class of z-supercontinuous functions (Indian J. Pure Appl. Math. 33 (7) (2002), ...