Some geometric properties of a new modular space defined by Zweier operator

Abstract

In this paper, we define the modular space Z σ (s, p) by using the Zweier operator and a modular. Then, we consider it equipped with the Luxemburg norm and also examine the uniform Opial property and property β. Finally, we show that this space has the fixed point property. MSC: 40A05; 46A45; 46B20

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