Sejeeni, Fowzi Ahmad On the lower semi-continuity of the set valued metric projection. (English) Zbl 0759.41019 Int. J. Math. Math. Sci. 15, No. 3, 455-463 (1992). The author first discusses some results on the finite order intersection properties of cells and makes use of the results to study the lower semi- continuity of best approximations operators from Banach lattices on to closed ideals. He further investigates the existence of best approximation to sub-function modulus of functions modules. Reviewer: G.D.Dikshit (Auckland) MSC: 41A30 Approximation by other special function classes 41A28 Simultaneous approximation 41A50 Best approximation, Chebyshev systems 41A65 Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) Keywords:metric projections; continuous selections; finite order intersection properties of cells; best approximations operators; Banach lattices PDFBibTeX XMLCite \textit{F. A. Sejeeni}, Int. J. Math. Math. Sci. 15, No. 3, 455--463 (1992; Zbl 0759.41019) Full Text: DOI EuDML