Topologies on Superspaces of TVS-Cone Metric Spaces. (22nd January 2014)
- Record Type:
- Journal Article
- Title:
- Topologies on Superspaces of TVS-Cone Metric Spaces. (22nd January 2014)
- Main Title:
- Topologies on Superspaces of TVS-Cone Metric Spaces
- Authors:
- Ge, Xun
Lin, Shou - Other Names:
- Abu-Saris R. Academic Editor.
Bracken P. Academic Editor.
Jafari S. Academic Editor.
Nagy B. Academic Editor. - Abstract:
- Abstract : 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.
- Is Part Of:
- TheScientificWorldjournal. Volume 2014(2014)
- Journal:
- TheScientificWorldjournal
- Issue:
- Volume 2014(2014)
- Issue Display:
- Volume 2014, Issue 2014 (2014)
- Year:
- 2014
- Volume:
- 2014
- Issue:
- 2014
- Issue Sort Value:
- 2014-2014-2014-0000
- Page Start:
- Page End:
- Publication Date:
- 2014-01-22
- Subjects:
- Science -- Periodicals
Technology -- Periodicals
Medicine -- Periodicals
505 - Journal URLs:
- https://www.hindawi.com/journals/tswj/biblio/ ↗
- DOI:
- 10.1155/2014/640323 ↗
- Languages:
- English
- ISSNs:
- 2356-6140
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD Digital store
- Ingest File:
- 17089.xml