Fixed points of quasi-nonexpansive mappings and best approximation
Yükleniyor...
Tarih
2009
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Selcuk University Research Center of Applied Mathematics
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Using fixed point theory, B.Brosowski [Mathematica (Cluj) 11 (1969), 195-220] proved that if T is a nonexpansive linear operator on a normed linear space X, C a T-invariant subset of X and x a T-invariant point, then the set PC(x) of best C-approximant to x contains a T-invariant point if PC(x) is non-empty, compact and convex. Subsequently, many generalizations of the Brosowskis result have appeared. In this paper, we also prove some extensions of the results of Brosowski and others for quasi-nonexpansive mappings when the underlying spaces are metric linear spaces or convex metric spaces.
Açıklama
URL: http://sjam.selcuk.edu.tr/sjam/article/view/237
Anahtar Kelimeler
Best approximation, En iyi yaklaşım, Approximatively compact set, Yaklaşık olarak kompakt set, Locally convex metric linear space, Lokal olarak dışbükey metrik doğrusal uzay, Convex metric space, Konveks metrik boşluk, Starshaped set, Yıldız şekilli set
Kaynak
Selcuk Journal of Applied Mathematics
WoS Q Değeri
Scopus Q Değeri
Cilt
10
Sayı
Künye
Narang, T. D., Chandok, S. (2009). Fixed points of quasi-nonexpansive mappings and best approximation. Selcuk Journal of Applied Mathematics, 10 (2), 75-80.
