On Best Approximation and Best Coapproximation

Tulsi Dass Narang, Sahil Gupta


In this paper, the concept of best coapproximation is employed to prove various characterizations of proximinal, coproximinal, Chebyshev and co-Chebyshev subspaces. The continuity properties of metric projection, metric coprojection and related maps have also been discussed. The underlying spaces are normed linear spaces and metric linear spaces.

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|ISSN 1686-0209|