Geodesic
On Best Simultaneous Approximation
Publications de l'Institut Mathématique, _N_S_52 (1992) no. 66, p. 77

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

For nonempty subsets $F$ and $K$ of a nonempty set $V$ and a real valued function $f$ on $X\times X$ the notion of $f$-best simultaneous approximation to $F$ from $K$ is introduced as an extension of the known notion of best simultaneous approximation in normed linear spaces. The concept of uniformly quasi-convex function on a vector space is also introduced. Sufficient conditions for the existence and uniqueness of $f$-best simultaneous approximation are obtained.
Classification : 41A28 41A50 41A52 54H99 46A99 
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     author = {S.V.R. Naidu},
     title = {On {Best} {Simultaneous} {Approximation}},
     journal = {Publications de l'Institut Math\'ematique},
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     number = {66},
     year = {1992},
     language = {en},
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S.V.R. Naidu. On Best Simultaneous Approximation. Publications de l'Institut Mathématique, _N_S_52 (1992) no. 66, p. 77 . http://geodesic.mathdoc.fr/item/PIM_1992_N_S_52_66_a12/