Recursos de colección

RiuNet. Repositorio institucional de la Universitat de Valencia (102.815 recursos)

RiuNet es el Repositorio Institucional de la Universitat Politècnica de València, gestionado por la Biblioteca, cuyo objetivo es ofrecer acceso en Internet a la producción científica, académica y corporativa de la comunidad universitaria con la finalidad de aumentar su visibilidad y hacerla accesible y preservable.

1. Non metrizable topologies on Z with countable dual group.

Barrera Mayoral, Daniel de la
[EN] In this paper we give two families of non-metrizable topologies on the group of the integers having a countable dual group which is isomorphic to a infinite torsion subgroup of the unit circle in the complex plane. Both families are related to D-sequences, which are sequences of natural numbers such that each term divides the following. The first family consists of locally quasi-convex group topologies. The second consists of complete topologies which are not locally quasi-convex. In order to study the dual groups for both families we need to make numerical considerations of independent interest.

2. Fixed points of α-Θ-Geraghty type and Θ-Geraghty graphic type contractions

Onsod, Wudthichai; Kumam, Poom; Cho, Yeol Je
[EN] In this paper, by using the concept of the α-Garaghty contraction, we introduce the new notion of the α-Θ-Garaghty type contraction and prove some fixed point results for this contraction in partial metric spaces. Also, we give some examples and applications to illustrate the main results.

3. Fixed point theorems for simulation functions in $\mbox{b}$-metric spaces via the $wt$-distance

Mongkolkeha, Chirasak; Cho, Yeol Je; Kumam, Poom
[EN] The purpose of this article is to prove some fixed point theorems for simulation functions in complete b-metric spaces with partially ordered by using wt-distance which introduced by Hussain et al. Also, we give some examples to illustrate our main results.

4. Contractive definitions and discontinuity at fixed point

Bisht, Ravindra K.; Pant, R. P.
[EN] In this paper, we investigate some contractive definitions which are strong enough to generate a fixed point that do not force the mapping to be continuous at the fixed point. Finally, we obtain a fixed point theorem for generalized nonexpansive mappings in metric spaces by employing Meir-Keeler type conditions.

5. A note on unibasic spaces and transitive quasi-proximities

[EN] In this paper we prove there is a bijection between the set of all annular bases of a topological spaces $(X,\tau)$ and the set of all transitive quasi-proximities on $X$ inducing $\tau$.We establish some properties of those topological spaces $(X,\tau)$ which imply that $\tau$ is the only annular basis