Invariant points of best approximation and best simultaneous approximation

• Autorzy: Chandok S. , Narang T.D.
• Języki publikacji: EN

Abstrakty

EN

In this paper we generalize and extend Brosowski-Meinardus type results on invariant points from the set of best approximation to the set of best simultaneous approximation, which is not necessarily starshaped. As a consequence some results on best approximation are deduced. The proved results extend and generalize some of the results of R. N. Mukherjee and V. Verma [Publ. de l’Inst. Math. 49(1991) 111-116], T.D. Narang and S. Chandok [Selcuk J. Appl. Math. 10(2009) 75-80; Indian J. Math. 51(2009) 293-303], and of G. S. Rao and S. A. Mariadoss [Serdica-Bulgaricae Math. Publ. 9(1983) 244-248].

Słowa kluczowe

EN

approximatively compact set; starshaped set; best approximation; best simultaneous approximation; jointly continuous contractive family; nonexpansive and quasi-nonexpansive mappings

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2013
• Tom: Nr 51
• Strony: 61--70
• Opis fizyczny: Bibliogr. 23 poz.

Twórcy

autor

Chandok S.

• Department of Mathematics Khalsa College of Engineering & Technology Punjab Technical University Ranjit Avenue, Amritsar-143001, Punjab, India

autor

Narang T.D.

• Department of Mathematics Guru Nanak Dev University Amritsar-143005, India

Bibliografia

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