On Geometrical Properties of Some Banach Spaces

Authors

Necip ŞİMŞEK, Istanbul Commerce University, Department of Mathematics, Uskudar, Istanbul, TurkeyFollow
Ekrem SAVAŞ
Vatan KARAKAYA

Author Country (or Countries)

Turkey

Abstract

In this work, we prove that modular spaces Vρ(λ; 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 in modular spaces.

Suggested Reviewers

N/A

Recommended Citation

ŞİMŞEK, Necip; SAVAŞ, Ekrem; and KARAKAYA, Vatan (2013) "On Geometrical Properties of Some Banach Spaces," Applied Mathematics & Information Sciences: Vol. 07: Iss. 1, Article 37.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol07/iss1/37