• closedAccess   Chaos in hyperspaces of nonautonomous discrete systems 

      Sánchez, Iván; Sanchis López, Manuel; Villanueva, Hugo Elsevier (2017)
      We study the interaction of some dynamical properties of a nonautonomous discrete dynamical system (X, f∞) and its induced nonautonomous discrete dynamical system (K(X),f∞¯), where K(X) is the hyperspace of non-empty compact ...
    • closedAccess   Complete invariant fuzzy metrics on groups 

      Sánchez, Iván; Sanchis López, Manuel Elsevier (2018-01-01)
      We study some questions related to complete fuzzy metric topological groups (in the sense of Kramosil and Michael). Invariant fuzzy metrics are characterized and we prove that if (G, M, ∗) is a fuzzy metric group such ...
    • closedAccess   Fuzzy quasi-pseudometrics on algebraic structures 

      Sánchez, Iván; Sanchis López, Manuel Elsevier (2018-01)
      In this work we state a number of theorems about fuzzy (quasi-)pseudometrizable algebraic structures. Our most useful results are: (1) a fuzzy semitopological group whose topology is induced by a left-invariant fuzzy ...
    • openAccess   Fuzzy sets on uniform spaces 

      Jardón, Daniel; Sánchez, Iván; Sanchis, Manuel University of Sistan and Baluchestan (2023-12-15)
    • closedAccess   p-Boundedness in paratopological groups 

      Sánchez, Iván; Sanchis López, Manuel Elsevier (2015-10)
      We show that bounded subsets of ω-admissible paratopological groups are p -bounded for all p∈ω⁎p∈ω⁎. In other words, they have a similar behavior to bounded subsets of topological groups. We present several new classes ...
    • closedAccess   Quasi-Uniformities and Quotients of Paratopological Groups 

      Sánchez, Iván; Sanchis López, Manuel Faculty of Sciences and Mathematics, University of Nis, Serbia (2017)
      For a subgroup H of a paratopological group G we prove that the quotient topology of the coset space G / H is induced by a rotund quasi-uniformity and the quotient topology of the semiregularization ( G / H ...
    • closedAccess   Some questions about Zadeh's extension on metric spaces 

      Jardón, Daniel; Sánchez, Iván; Sanchis López, Manuel Elsevier (2018-10-29)
      For a continuous function f on a Hausdorff space X , we prove that [ ̂ f(u) ] α = f(u α ) for each u ∈ F (X) and α ∈[ 0 , 1 ] , where ̂ f is the Zadeh’s extension of f . By ...
    • openAccess   Transitivity in Fuzzy Hyperspaces 

      Jardón, Daniel; Sánchez, Iván; Sanchis, Manuel MDPI (2020)
      Given a metric space (X, d), we deal with a classical problem in the theory of hyperspaces: how some important dynamical properties (namely, weakly mixing, transitivity and point-transitivity) between a discrete dynamical ...