Geodesic
Existence of best approximations
Portugaliae mathematica, Tome 42 (1983) no. 4, pp. 435-440.

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Keywords: weak sequentially compact continuous linear functional, best approximations in normed spaces, proximinal subsets, locally convex metrizable topological vector space 
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     author = {Thaheem, A.B.},
     title = {Existence of best approximations},
     journal = {Portugaliae mathematica},
     pages = {435--440},
     publisher = {mathdoc},
     volume = {42},
     number = {4},
     year = {1983},
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     zbl = {0585.41031},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PORMA_1983__42_4_115558/}
}
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Thaheem, A.B. Existence of best approximations. Portugaliae mathematica, Tome 42 (1983) no. 4, pp. 435-440. http://geodesic.mathdoc.fr/item/PORMA_1983__42_4_115558/