BEST APPROXIMATION AND BEST COAPPROXIMATION IN METRIC LINEAR SPACES
Keywords:
Proximinal set, coproximinal set, Chebyshev set, co-Chebyshev set, quasi-orthogonalityAbstract
In this paper, we discuss best approximation and best coapproximation in metric linear spaces. We obtain some results on the characterizations, existence and uniqueness of elements of best approximation and best coapproximation in metric linear spaces. We also study single-valuedness and linearity of metric projection and metric coprojection maps.
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This work is licensed under aย Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.