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Invariant Points and ε-Simultaneous Approximation

We generalize and extend Brosowski-Meinardus type results on invariant points from the set of best approximation to the set of 𝜀-simultaneous approximation. As a consequence some results on 𝜀-approximation and best approximation are also deduced. The results proved in this paper generalize and extend some of the known results on the subject.