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

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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 $$SY_X(\epsilon )$$SYX(ϵ), the… Click to show full 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 $$SY_X(\epsilon )$$SYX(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.

Keywords: wedrychowicz type; modulus convexity; type modulus; hajnosz wedrychowicz; normal structure; banas hajnosz

Journal Title: Journal of Fixed Point Theory and Applications
Year Published: 2018

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