An application of a fixed-point theorem to approximation theory. (English) Zbl 0399.41032


41A65 Abstract approximation theory (approximation in normed linear spaces and other abstract spaces)
41A50 Best approximation, Chebyshev systems
47A65 Structure theory of linear operators
47H10 Fixed-point theorems
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[1] Brosowski, B., Fix punktsatze in der Approximations theorie, Mathematica (Cluj), 11, 195-220 (1969) · Zbl 0207.45502
[2] Edelstein, M., On fixed and periodic points under contractive mappings, J. London Math. Soc., 37, 74-79 (1962) · Zbl 0113.16503
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