On some Euler weighted difference sequence space of non-absolute type

Abstract

In this paper; we introduce the Euler weighted difference sequence space eθ (w,Δm,p) and investigate its some topological and geometrical properties. We construct Schauder basis of this space. We compute its α-, β- and γ- duals and also characterize the classes of matrix mappings. Finally; we prove that eθ(w,Δm,p) has property β and uniform Opial property and consequently has the fixed point property.