Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik

Proximinality and co-proximinality in metric linear spaces

100%

Narang T. W., Gupta S.

Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica

2015

tom 69

nr 1

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.

On strong proximinality in normed linear spaces

100%

Gupta S., Narang T. D.

Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica

2016

tom 70

nr 1

The paper deals with strong proximinality in normed linear spaces. It is proved that in a compactly locally uniformly rotund Banach space, proximinality, strong proximinality, weak approximative compactness and approximative compactness are all equivalent for closed convex sets. How strong proximinality can be transmitted to and from quotient spaces has also been discussed.

Ograniczanie wyników

2 Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica

2 Gupta S.

1 Narang T. D.

1 Narang T. W.

1 2016

1 2015

Wyniki wyszukiwania

Proximinality and co-proximinality in metric linear spaces

On strong proximinality in normed linear spaces