On geometrical properties of some Banach spaces

ŞİMŞEK N., Savaş E., KARAKAYA V.

Applied Mathematics and Information Sciences, vol.7, no.1, pp.295-300, 2013 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 7 Issue: 1
  • Publication Date: 2013
  • Doi Number: 10.12785/amis/070137
  • Journal Name: Applied Mathematics and Information Sciences
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.295-300
  • Keywords: de la Vallée-Poussin means, k-nearly uniform convexity, Luxemburg norm, The uniform opial property
  • Uşak University Affiliated: No

Abstract

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.