# Banas–Hajnosz–Wedrychowicz type modulus of convexity and normal structure in Banach spaces

Banas–Hajnosz–Wedrychowicz type modulus of convexity and normal structure in Banach spaces In this paper, we present some sufficient conditions for which the Banach space X has uniform normal structure in terms of the Banas–Hajnosz–Wedrychowicz type modulus of convexity $$SY_X(\epsilon )$$ S Y X ( ϵ ) , the coefficient of weak orthogonality $$\omega (X)$$ ω ( X ) and the Domínguez–Benavides coefficient R(1, X). Some known results are improved and strengthened. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Fixed Point Theory and Applications Springer Journals

# Banas–Hajnosz–Wedrychowicz type modulus of convexity and normal structure in Banach spaces

, Volume 20 (2) – Mar 14, 2018
10 pages

/lp/springer_journal/banas-hajnosz-wedrychowicz-type-modulus-of-convexity-and-normal-YIJE0ozh0h
Publisher
Springer International Publishing
Copyright © 2018 by Springer International Publishing AG, part of Springer Nature
Subject
Mathematics; Mathematics, general; Analysis; Mathematical Methods in Physics
ISSN
1661-7738
eISSN
1661-7746
D.O.I.
10.1007/s11784-018-0537-2
Publisher site
See Article on Publisher Site

### Abstract

In this paper, we present some sufficient conditions for which the Banach space X has uniform normal structure in terms of the Banas–Hajnosz–Wedrychowicz type modulus of convexity $$SY_X(\epsilon )$$ S Y X ( ϵ ) , the coefficient of weak orthogonality $$\omega (X)$$ ω ( X ) and the Domínguez–Benavides coefficient R(1, X). Some known results are improved and strengthened.

### Journal

Journal of Fixed Point Theory and ApplicationsSpringer Journals

Published: Mar 14, 2018

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