On the lower semi-continuity of the set valued metric projection

The lower semi-continuity of best approximation operators from Banach lattices on to closed ideals is investigated. Also the existence of best approximation to sub-function modules of function modules is proved. The order intersection properties of cells are studied and used to prove the above resul...

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Main Author:	Fowzi Ahmad Sejeeni
Format:	Article
Language:	English
Published:	Hindawi Limited 1992-01-01
Series:	International Journal of Mathematics and Mathematical Sciences
Subjects:	lower semi-continuity metric projections continuous selections finite order intersection properties for cells Banach lattices function modules.
Online Access:	http://dx.doi.org/10.1155/S0161171292000619

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spelling	doaj-9cd7d14818b74a7fa8f98565fb96e9272020-11-25T00:16:58ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251992-01-0115345546310.1155/S0161171292000619On the lower semi-continuity of the set valued metric projectionFowzi Ahmad Sejeeni0Department of Mathematical Sciences, Umm Al-Qura University, Makkah, Saudi ArabiaThe lower semi-continuity of best approximation operators from Banach lattices on to closed ideals is investigated. Also the existence of best approximation to sub-function modules of function modules is proved. The order intersection properties of cells are studied and used to prove the above results.http://dx.doi.org/10.1155/S0161171292000619lower semi-continuitymetric projectionscontinuous selectionsfinite order intersection properties for cellsBanach latticesfunction modules.
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Fowzi Ahmad Sejeeni
spellingShingle	Fowzi Ahmad Sejeeni On the lower semi-continuity of the set valued metric projection International Journal of Mathematics and Mathematical Sciences lower semi-continuity metric projections continuous selections finite order intersection properties for cells Banach lattices function modules.
author_facet	Fowzi Ahmad Sejeeni
author_sort	Fowzi Ahmad Sejeeni
title	On the lower semi-continuity of the set valued metric projection
title_short	On the lower semi-continuity of the set valued metric projection
title_full	On the lower semi-continuity of the set valued metric projection
title_fullStr	On the lower semi-continuity of the set valued metric projection
title_full_unstemmed	On the lower semi-continuity of the set valued metric projection
title_sort	on the lower semi-continuity of the set valued metric projection
publisher	Hindawi Limited
series	International Journal of Mathematics and Mathematical Sciences
issn	0161-1712 1687-0425
publishDate	1992-01-01
description	The lower semi-continuity of best approximation operators from Banach lattices on to closed ideals is investigated. Also the existence of best approximation to sub-function modules of function modules is proved. The order intersection properties of cells are studied and used to prove the above results.
topic	lower semi-continuity metric projections continuous selections finite order intersection properties for cells Banach lattices function modules.
url	http://dx.doi.org/10.1155/S0161171292000619
work_keys_str_mv	AT fowziahmadsejeeni onthelowersemicontinuityofthesetvaluedmetricprojection
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On the lower semi-continuity of the set valued metric projection

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