Some geometric properties of a new difference sequence space defined by de la Vallée-Poussin mean
Applied Mathematics and Computation, 2014•Elsevier
In this paper, wedefine a new generalized difference sequence space C p Δ λ m and
consider it equipped with the Luxemburg norm under which it is a Banach space and we
show that the space C p Δ λ m possess Banach Saks property of type p, uniform opial
property and property (H), where p=(pn) is a bounded sequence of positive real numbers
with pn> 1 for all n∈ N. Also, we give some results about the fixed point theory for the
spaces C p Δ m and C p Δ m 1< p<∞.
consider it equipped with the Luxemburg norm under which it is a Banach space and we
show that the space C p Δ λ m possess Banach Saks property of type p, uniform opial
property and property (H), where p=(pn) is a bounded sequence of positive real numbers
with pn> 1 for all n∈ N. Also, we give some results about the fixed point theory for the
spaces C p Δ m and C p Δ m 1< p<∞.
In this paper, wedefine a new generalized difference sequence space C p Δ λ m and consider it equipped with the Luxemburg norm under which it is a Banach space and we show that the space C p Δ λ m possess Banach Saks property of type p, uniform opial property and property (H), where p=(p n) is a bounded sequence of positive real numbers with p n> 1 for all n∈ N. Also, we give some results about the fixed point theory for the spaces C p Δ m and C p Δ m 1< p<∞.
Elsevier
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