Chicharro, Francisco I.; Cordero Barbero, Alicia; Garrido, Neus; Torregrosa Sánchez, Juan Ramón(John Wiley & Sons, 2020-01-12)
[EN] The stability analysis of a new family of iterative methods with memory is introduced. This family, designed from Traub's method, allows to add memory through the introduction of an accelerating parameter. Hence, the ...
Llorca García, Carlos; García García, Alfredo(National Academy of Sciences, 2011-02)
Drivers need sufficient passing sight distance (PSD) to pass slower vehicles with safety. This distance can help to improve traffic operation on two-way, two-lane highways. Existing models propose different values of PSD ...
Radhakrishnan, M.; Rajesh, S.(Universitat Politècnica de València, 2019-04-01)
[EN] Kirk introduced the notion of pointwise eventually asymptotically non-expansive mappings and proved that uniformly convex Banach spaces have the fixed point property for pointwise eventually asymptotically non expansive ...
Maiti, Pallab; Sultana, Asrifa(Universitat Politècnica de València, 2024-10-01)
[EN] In this article, we establish that any uniformly local Mizoguchi-Takahashi contraction is actually a set-valued contraction due to Feng and Liu on a metrically convex complete metric space. Through an example, we ...
Benkafadar, Nasreddine Mohamed; Gel'man, Boris Danielovich(Editorial Universitat Politècnica de València, 2015-04-01)
[EN] In the paper one defines topological invariants of type degree for morphisms in the category Top₍₂₎ of topological pairs of spaces and continuous single valued maps, which admit homological n-spheres as target and ...
Sultana, Asrifa; Vetrivel, V.(Editorial Universitat Politècnica de València, 2014-04-07)
[EN] In this article we establish the existence of a unique best proximity point for some generalized non self contractions on a metric space in a simpler way using a geometric result. Our results generalize some recent ...
Ali Akbar, Kamaludheen; Mubeena, T.(Universitat Politècnica de València, 2022-10-03)
[EN] In this article, we prove that the group of all increasing homeomorphisms on R has exactly five normal subgroups, and the group of all homeomorphisms on R has exactly four normal subgroups. There are several results ...
Radhakrishnan, Mohanasundaram; Rajesh, S.; Agrawal, Sushama(Universitat Politècnica de València, 2017-10-02)
[EN] In this paper, we prove that ifKis a nonempty weakly compact setin a Banach spaceX,T:K→Kis a nonexpansive map satisfyingx+Tx2∈Kfor allx∈Kand ifXis3−uniformly convex orXhas theOpial property, thenThas a fixed point in K
Vidal-Escobar, Ivon; Garcia-Ferreira, Salvador(Universitat Politècnica de València, 2019-10-01)
[EN] Given a discrete dynamical system (X, ƒ), we consider the function ωƒ-limit set from X to 2x asωƒ(x) = {y ∈ X : there exists a sequence of positive integers n1 < n2 < … such that limk→∞ ƒnk (x) = y},for each x ∈ X. ...