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

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  • Fowzi Ahmad Sejeeni

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.

Suggested Citation

  • Fowzi Ahmad Sejeeni, 1992. "On the lower semi-continuity of the set valued metric projection," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 15, pages 1-9, January.
    • Handle: RePEc:hin:jijmms:374238
    DOI: 10.1155/S0161171292000619
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