The Representations and Continuity of the Metric Projections on Two Classes of Half-Spaces in Banach Spaces

Zihou Zhang and Chunyan Liu

Abstract and Applied Analysis, 2014, vol. 2014, 1-5

Abstract:

We show a necessary and sufficient condition for the existence of metric projection on a class of half-space in Banach space. Two representations of metric projections and are given, respectively, where stands for dual half-space of in dual space . By these representations, a series of continuity results of the metric projections and are given. We also provide the characterization that a metric projection is a linear bounded operator.

Date: 2014
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/AAA/2014/908676.pdf (application/pdf)
http://downloads.hindawi.com/journals/AAA/2014/908676.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:908676

DOI: 10.1155/2014/908676

Access Statistics for this article

More articles in Abstract and Applied Analysis from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().