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

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 $$SY_X(\epsilon )$$ , the coefficient of weak orthogonality $$\omega (X)$$ and the Dominguez–Benavides coefficient R(1, X). Some known results are improved and strengthened.