Olela Otafudu, Olivier(Universitat Politècnica de València, 2018-04-02)
[EN] We introduce and investigate the concept of geodesic bicombing in T0-quasi-metric spaces. We prove that any Isbell-convex T0-quasi-metric space admits a geodesic bicombing which satisfies the equivariance property. ...
Pant, Rajendra(Universitat Politècnica de València, 2018-04-02)
[EN] We introduce a new type of nonlinear contraction and present some fixed point results without using continuity or semi-continuity. Our result complement, extend and generalize a number of fixed point theorems including ...
Bella, Angelo(Universitat Politècnica de València, 2018-04-02)
[EN] A pseudocompact space is maximal pseudocompact if every strictly finer topology is no longer pseudocompact. The main result here is a counterexample which answers a question rised by Alas, Sanchis and Wilson.
Yan, Peng-Fei; Hu, Xing-Yu; Xie, Li-Hong(Universitat Politècnica de València, 2018-04-02)
[EN] In this paper, the concept of k-upper semi-continuous set-valued mappings is introduced. Using this concept, we give characterizations of k-semistratifiable and k-MCM spaces, which answers a question posed by Xie and Yan.
Jäger, Gunther; Ahsanullah, T. M. G.(Universitat Politècnica de València, 2018-04-02)
[EN] We identify two categories of quantale-valued convergence tower spaces that are isomorphic to the categories of quantale-valued metric spaces and quantale-valued partial metric spaces, respectively. As an application ...