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
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
