López-Permouth, Sergio R.; Stanley, Benjamin(Universitat Politècnica de València, 2020-04-03)
[EN] We provide topological interpretations of the recently introduced notions of amenability and congeniality of bases of innite dimensional algebras. In order not to restrict our attention only to the countable dimension ...
Okeke, Godwin Amechi; Abbas, Mujahid(Universitat Politècnica de València, 2020-04-03)
[EN] It is our purpose in this paper to prove some fixed point results and Fej´er monotonicity of some faster fixed point iterative sequences generated by some nonlinear operators satisfying rational inequality in complex ...
Garg, Medha; Chandok, Sumit(Universitat Politècnica de València, 2020-04-03)
[EN] In this paper, we define weak θm− contraction mappings and give a new class of Picard operators for such class of mappings on a complete metric space. Also, we obtain some new results on the existence and uniqueness ...
Boxer, Laurence; Staecker, P. Christopher(Universitat Politècnica de València, 2020-04-03)
[EN] In this paper, we examine some properties of the fixed point set of a
digitally continuous function. The digital setting requires new methods that are not analogous to those of classical topological fixed point
theory, ...
Abuzaid, Dina; Alqahtani, Maha; Kalantan, Lutfi(Universitat Politècnica de València, 2020-04-03)
[EN] We use the technique of Hattori to generate new topologies on the closed upper half plane which lie between the usual metric topology and the Niemytzki topology. We study some of their fundamental properties and ...