Title of article
Best Coapproximation in Quotient Spaces
Author/Authors
Gupta, Sahil Department of Mathematics - Guru Nanak Dev University, Amritsar, India , Narang, Tulsi Dass Department of Mathematics - Guru Nanak Dev University, Amritsar, India
Pages
8
From page
13
To page
20
Abstract
A kind of approximation, called best coapproximation was
introduced and discussed in normed linear spaces by C. Franchetti and M.
Furi in 1972. Subsequently, this study was taken up by several researchers
in different abstract spaces. In this paper, we prove some results on
the existence and uniqueness of best coapproximation in quotient spaces
when the underlying spaces are metric linear spaces. We also show how
coproximinality is transmitted to and from quotient spaces.
Keywords
Pseudo co-Chebyshev set , Bound- edly compact set , co-Chebyshev set , Coproximinal set , Best coapproximation
Serial Year
2019
Record number
2494718
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