On geometrical properties of some Banach spaces

ŞİMŞEK N., Savaş E., KARAKAYA V.

Applied Mathematics and Information Sciences, cilt.7, sa.1, ss.295-300, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 7 Sayı: 1
  • Basım Tarihi: 2013
  • Doi Numarası: 10.12785/amis/070137
  • Dergi Adı: Applied Mathematics and Information Sciences
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.295-300
  • Anahtar Kelimeler: de la Vallee-Poussin means, Luxemburg norm, the uniform Opial property, k-nearly uniform convexity
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

In this work, we prove that modular spaces V Ρ(δ; p) defined in [26] have the k-nearly uniform convexity(k - NUC property) when they are endowed with the Luxemburg norm. We also prove that these spaces have the uniform Opial property with the Luxemburg norm. The above investigated geometric properties will enable us to obtain some fixed point results inmodular spaces. © 2013 NSP. Natural Sciences Publishing Cor.