ArticleOriginal scientific text
Title
Proximinality and co-proximinality in metric linear spaces
Authors ,
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.
Keywords
Best approximation, best coapproximation, proximinal set, co-proximinal set, Chebyshev set, co-Chebyshev set
Bibliography
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Main language of publication
English
Published
2015
Published online
2015-11-30
Exact and natural sciences