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A note on an application of a fixed point theorem in approximation theory. (English) Zbl 0606.41048

We extend a theorem of S. P. Singh [J. Approximation Theory 25, 89- 90 (1979)] by relaxing further the condition of star-shapedness on the set of best C-approximations to a given point.

MSC:

41A65 Abstract approximation theory (approximation in normed linear spaces and other abstract spaces)
47H10 Fixed-point theorems
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