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  Expansive homeomorphisms on quasi-metric spaces 

  Olela Otafudu, Olivier; Matladi, Dibona Peggy; Zweni, Mcedisi Sphiwe (Universitat Politècnica de València, 2024-04-02)

  [EN] The investigation of expansive homeomorphisms in metric spaces began with Utz in 1950. Thereafter, several authors have extensively studied this concept for different motivations. In this current article, we study ...
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  On graph induced symbolic systems 

  Kumar, Prashant; Sharma, Puneet (Universitat Politècnica de València, 2023-10-02)

  [EN] In this paper, we investigate shift spaces arising from a multidimensional graph G. In particular, we investigate nonemptiness and existence of periodic points for a multidimensional shift space. We derive sufficient ...
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  ★-quasi-pseudometrics on algebraic structures 

  He, Shi-Yao; Jin, Ying-Ying; Xie, Li-Hong (Universitat Politècnica de València, 2023-10-02)

  [EN] In this paper, we introduce some concepts of ★-(quasi)-pseudometric spaces, and give an example which shows that there is a ★-quasi-pseudometric space which is not a quasi-pseudometric space. We also study the conditions ...
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  A note on the fixed point theorem of F-contraction mappings in rectangular M-metric space 

  Abbas, Mujahid; Anjum, Rizwan; Anwar, Rabia (Universitat Politècnica de València, 2023-10-02)

  [EN] In this note, we show that the main result (Theorem 3.2) due to Asim et al. (Appl. Gen. Topol., 23(2), 363-376 (2022) https://doi.org/10.4995/agt.2022.17418) is still valid if we remove the assumption of continuity ...
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  Rough representations of rough topological groups 

  Kieou, Essoyomewè; Todjro, Mawoussi; Mensah, Yaogan (Universitat Politècnica de València, 2023-10-02)

  [EN] In this paper, the concept of rough representation of a rough topological group on a Banach space is explored. Mainly, the continuity and the irreducibility of rough representations are studied.

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