Shah, Sejal; Das, Ruchi; Das, Tarun(Universitat Politècnica de València, 2016-10-03)
[EN] We prove that if a uniformly continuous self-map $f$ of a uniform space has topological specification property then the map $f$ has positive uniform entropy, which extends the similar known result for homeomorphisms ...
Grecova, Svetlana; Sostak, Alexander; Uljane, Ingrida(Universitat Politècnica de València, 2016-10-03)
[EN] After the inception of the concept of a fuzzy metric by I. Kramosil and J. Michalek, and especially after its revision by A. George and G. Veeramani, the attention of many researches was attracted to the topology ...
Nazam, Muhammad; Arshad, Muhammad; Abbas, Mujahid(Universitat Politècnica de València, 2016-10-03)
[EN] In this paper, we introduce a new contraction called dualistic contraction of rational type and obtain some fixed point results. These results generalize various comparable results appeared in the literature. We provide ...
Almontashery, Khulod; Kalantan, Lutfi(Universitat Politècnica de València, 2016-10-03)
[EN] In this paper, we present some new results about the Alexandroff Duplicate Space. We prove that if a space X has the property P, then its Alexandroff Duplicate space A(X) may not have P, where P is one of the following ...
Buzyakova, Raushan(Universitat Politècnica de València, 2016-10-03)
[EN] We show that for any continuous monotonic bijection $f$ on a $\sigma$-compact subgroup $G\subset \mathbb R$ there exists a binary operation $+_f$ such that $\langle G, +_f\rangle$ is a topological group topologically ...