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

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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Bibliographic Details
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
Description
Summary: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.
ISSN:0161-1712
1687-0425

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