TY  - JOUR
T1  - Topologies on Superspaces of TVS-Cone Metric Spaces
LA  - en
PB  - Hindawi Publishing Corporation
YR  - 2014
UL  - http://buscaintegrada.pucsp.br/vufind/Record/pubmed-3919050
AB  - This paper investigates superspaces 𝒫 (0)(X) and 𝒦 (0)(X) of a tvs-cone metric space (X, d), where 𝒫 (0)(X) and 𝒦 (0)(X) are the space consisting of nonempty subsets of X and the space consisting of nonempty compact subsets of X, respectively. The purpose of this paper is to establish some relationships between the lower topology and the lower tvs-cone hemimetric topology (resp., the upper topology and the upper tvs-cone hemimetric topology to the Vietoris topology and the Hausdorff tvs-cone hemimetric topology) on 𝒫 (0)(X) and 𝒦 (0)(X), which makes it possible to generalize some results of superspaces from metric spaces to tvs-cone metric spaces.
KW  - Research Article
ER  -