On the Domain of the Pell-Lucas Matrix in the Spaces c and c_0
In this study, we introduce new Banach sequence spaces $c(\Theta), c_0(\Theta)$, defined via a regular infinite matrix $ \Theta = (\lambda_{nk})$, where \[ \Theta_{nk} = \begin{cases} \dfrac{2\lambda_k}{3\lambda_n+\lambda_{n-1}} & 0 \leq k \leq n ...
Shiva Shah
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Properties of intersection in the geometry of sequences in Banach spaces
We consider properties of sequences in a Banach space through the geometrical behaviour of the closed linear spans of their subsequences. We study new families of intersection properties, generalizing the results of Courage-Davis, Plans, and Reyes. We end with a table showing the structure of a sequence by means of its intersection properties.
García-Castellón, F. +1 more
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Fixed point approximation for generalized μ-Reich-Suzuki nonexpansive mappings with application. [PDF]
Ishtiaq T +3 more
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On basic sequences in Banach spaces
Summary: Let \(X\) be a Banach space with \(X^{**}\) separable. If \(X\) has a shrinking basis and \(Y\) is a closed subspace of \(X^{**}\) which contains \(X\), there exists a shrinking basis \((x_ n)\) in \(X\) with two complementary subsequences \((x_{m_ i})\) and \((x_{n_ j})\) so that \([x_{m_ j}]\) is a reflexive space and \(X+ \widetilde {[x_{n_
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Trace theory for parabolic boundary value problems with rough boundary conditions. [PDF]
Denk R, Roodenburg FB.
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Higher-order regularity for a structurally damped plate equation on rough domains. [PDF]
Denk R, Roodenburg FB.
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Modified Z-algorithms for reckoning fixed points with application to nonlinear integral equations. [PDF]
Rehman HU, Hammad HA, Abdalla MEM.
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Discrete stochastic maximal regularity. [PDF]
Evangelopoulos-Ntemiris F, Veraar M.
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Novel iterative method for the approximation of fixed point of a class of generalized ([Formula: see text])-nonexpansive mapping with applications to seir epidemic model. [PDF]
Alharthi NH +4 more
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