Abstract
As a counterpart to best approximation, the concept of best coapproximation was introduced in normed linear spaces by C. Franchetti and M. Furi in 1972. Subsequently, this study was taken up by many researchers. In this paper, we discuss some results on the existence and uniqueness of best approximation and best coapproximation when the underlying spaces are metric linear spaces.
Highlights
As a counterpart to best approximation, the concept of best coapproximation was introduced in normed linear spaces by C
We discuss some results on the existence and uniqueness of best approximation and best coapproximation when the underlying spaces are metric linear spaces
Only a few have taken up this study in more general abstract spaces
Summary
As a counterpart to best approximation, the concept of best coapproximation was introduced in normed linear spaces by C. We discuss the existence and uniqueness results on best approximation and best coapproximation in metric linear spaces thereby generalizing the various known results. Let G be a closed linear subspace of a metric linear space (X, d).
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