International Journal of Mathematics and Mathematical Sciences
Volume 15 (1992), Issue 3, Pages 455-463
doi:10.1155/S0161171292000619
On the lower semi-continuity of the set valued metric projection
Fowzi Ahmad Sejeeni
Department of Mathematical Sciences, Umm Al-Qura University, Makkah, Saudi Arabia
Abstract
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.