Results 41 to 50 of about 2,646,098 (197)
New Sequence Spaces and Function Spaces on Interval [0,1]
Journal of Function Spaces and Applications, 2013 We study the sequence spaces and the spaces of functions defined on interval 0,1 in this paper. By a new summation method of sequences, we find out some new sequence spaces that are interpolating into spaces between ℓp and ℓq and function spaces that are
Cheng-Zhong Xu, Gen-Qi Xu
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Mathematics, 2020 Kannan maps have inspired a branch of metric fixed point theory devoted to the extension of the classical Banach contraction principle. The study of these maps in modular vector spaces was attempted timidly and was not successful.
Afrah A. N. Abdou, Mohamed Amine Khamsi
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Remarks on Asymptotic Centers and Fixed Points
Abstract and Applied Analysis, 2010 We introduce a class of nonlinear continuous mappings defined on a bounded closed convex subset of a Banach space X. We characterize the Banach spaces in which every asymptotic center of each bounded sequence in any weakly compact convex subset is ...
A. Kaewkhao, K. Sokhuma
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On various Riesz-dual sequences for Schauder frames
Heliyon, 2020 In this paper, we introduce various definitions of R-duals, to be called R-duals of type I, II, which leads to a generalization of the duality principle in Banach spaces.
Ali Reza Neisi, Mohammad Sadegh Asgari
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Grothendieck and ℓ∞$\ell _\infty$‐Grothendieck Subspaces of ℓ∞$\ell _\infty$
Mathematische Nachrichten, EarlyView.ABSTRACT Let c=2ℵ0$\mathfrak {c}=2^{\aleph _0}$. We prove that ℓ∞$\ell _\infty$ contains 2c$2^{\mathfrak {c}}$ pairwise non‐isomorphic non‐reflexive Grothendieck subspaces. They may all be chosen to contain the canonical copy of c0$c_0$ and to have an infinite‐dimensional reflexive quotient. This is optimal and answers Problem 24 of González and Kania [
Manuel González, Tomasz Kania
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Locally Nearly Uniformly Convex Points in Orlicz Spaces Equipped with the Luxemburg Norm
AxiomsThis research explores two novel geometric concepts—nearly convex points and locally nearly uniformly convex points within the frameworks of Banach spaces and Orlicz spaces equipped with the Luxemburg norm.
Yunan Cui, Xiaoxia Wang, Yaoming Niu
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A Shrinking Projection Algorithm with Errors for Costerro Bounded Linear Mappings
Journal of Mathematics, 2020 The purpose of this paper is to introduce and analyze the shrinking projection algorithm with errors for a finite set of costerro bounded linear mappings in the setting of uniformly convex smooth Banach spaces.
Joseph Frank Gordon
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Mathematical Methods in the Applied Sciences, EarlyView.The goal of this work is to look at how a nonlinear model describes hematopoiesis and its complexities utilizing commonly used techniques with historical and material links. Based on time delay, the Mackey–Glass model is explored in two instances. To offer a range, the relevance of the parameter impacting stability (bifurcation) is recorded.
Shuai Zhang +5 more
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Accessible operators on ultraproducts of Banach spaces
Extracta MathematicaeWe address a question by Henry Towsner about the possibility of representing linear operators between ultraproducts of Banach spaces by means of ultraproducts of nonlinear maps.
Félix Cabello Sánchez
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Isomorphic spectrum and isomorphic length of a Banach space
Karpatsʹkì Matematičnì Publìkacìï, 2020 We prove that, given any ordinal $\delta < \omega_2$, there exists a transfinite $\delta$-sequence of separable Banach spaces $(X_\alpha)_{\alpha < \delta}$ such that $X_\alpha$ embeds isomorphically into $X_\beta$ and contains no subspace isomorphic to $
O. Fotiy, M. Ostrovskii, M. Popov
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