Dube, Themba(Universitat Politècnica de València, 2017-04-03)
[EN] We revisit weak pseudocompactness in pointfree topology, and show that a locale is weakly pseudocompact if and only if it is Gδ-dense in some compactification. This localic approach (in contrast with the earlier ...
Phuengrattana, Withun(Universitat Politècnica de València, 2017-04-03)
[EN] In this article, we propose a new class of nonlinear mappings, namely, generalized asymptotically nonspreading mapping, and prove the existence of fixed points for such mapping in convex metric spaces. Furthermore, ...
Krebs, Mike(Universitat Politècnica de València, 2017-04-03)
[EN] We show that there exists a Hausdorff topology on the set R of real numbers such that a subset A of R has compact closure if and only if A is countable. More generally, given any set X and any infinite set S, we prove ...
[EN] The purpose of this article is to prove some fixed point theorems for simulation functions in complete b-metric spaces with partially ordered by using wt-distance which introduced by Hussain et al. Also, we ...
Sari, Dewi Kartika; Zhao, Dongsheng(Universitat Politècnica de València, 2017-04-03)
[EN] Using neighbourhood assignments, we introduce and study a new cardinal function, namely GCI(X), for every topological space X. We shall mainly investigate the spaces X with finite GCI(X). Some properties of this ...