Geodesic
A Note on Best Simultaneous Approximation in Normed Linear Spaces
Canadian mathematical bulletin, Tome 19 (1976) no. 3, pp. 359-360

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The purpose of the present note is to point out that the results of D. S. Goel, A. S. B. Holland, C. Nasim and B. N. Sahney [1] on best simultaneous approximation are easy consequences of simple facts about convex functions. Given a normed linear space X, a convex subset K of X, and points x 1, x 2 in X, [1] discusses existence and uniqueness of K* ∈ K such that 
Brøndsted, Arne. A Note on Best Simultaneous Approximation in Normed Linear Spaces. Canadian mathematical bulletin, Tome 19 (1976) no. 3, pp. 359-360. doi: 10.4153/CMB-1976-053-8
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     title = {A {Note} on {Best} {Simultaneous} {Approximation} in {Normed} {Linear} {Spaces}},
     journal = {Canadian mathematical bulletin},
     pages = {359--360},
     year = {1976},
     volume = {19},
     number = {3},
     doi = {10.4153/CMB-1976-053-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1976-053-8/}
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