Results 31 to 40 of about 2,878,272 (172)
Solvability of an infinite system of nonlinear integral equations of Volterra-Hammerstein type
The purpose of the paper is to study the solvability of an infinite system of integral equations of Volterra-Hammerstein type on an unbounded interval. We show that such a system of integral equations has at least one solution in the space of functions ...
Chlebowicz Agnieszka
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On sequence spaces for Fr\'echet frames
We analyze the construction of a sequence space $\widetilde{\Theta}$, resp. a sequence of sequence spaces, in order to have $\{g_i\}$ as a $\widetilde{\Theta}$-frame or Banach frame for a Banach space $X$, resp. pre-$F$-frame or $F$-frame for a Fr\'echet
Albiac F. +5 more
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In this work, we introduce Some common fixed point theorems of contraction and (α, ) composition contraction in Generalized Banach space. The provided theorem is a generalization and extension of many well-known theorems.
Wesam Nafia khuen, Alia Shani Hassan
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Spaces Defined by Sequences [PDF]
The biquotient, countably biquotient, hereditarily quotient, and quotient images of q q -spaces are classified. Also, the quotient images of paracompact M M -spaces, and the quotient images of M M -spaces are classified without any separation axioms.
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Riesz I–convergent sequence spaces
In this article we have introduced some new sequence spaces as a domain of triangular Riesz matrix, and study some of their algebraic and topological properties. Further, our work will devote to argue some inclosions regarding those fore-said sequence spaces.
Khan, Vakeel A., Rahman, Zahid
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Lipschitz retraction of finite subsets of Hilbert spaces
Finite subset spaces of a metric space $X$ form a nested sequence under natural isometric embeddings $X=X(1)\subset X(2)\subset\dots$. We prove that this sequence admits Lipschitz retractions $X(n)\to X(n-1)$ when $X$ is a Hilbert space.Comment ...
Kovalev, Leonid V.
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On Triple Difference Sequences of Real Numbers in Neutrosophic Normed Spaces
The aim of this article is to investigate triple $\Delta $-statistical convergent sequences in a neutrosophic normed space (NNS). Also, we examine the notions of $\Delta $-statistical limit points and $\Delta $-statistical cluster points and prove their ...
Verda Gürdal, Ömer Kişi
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Hausdorff measure of noncompactness of matrix operators on some new difference sequence spaces
The new sequence spaces X ( r , s , t ; Δ ) $X(r,s,t;\Delta)$ for X ∈ { l ∞ , c , c 0 } $X\in\{l_{\infty}, c, c_{0}\}$ have been defined by using generalized means and difference operator.
Elahe Abyar, Mohammad Bagher Ghaemi
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Local interpolation in Hilbert spaces of Dirichlet series
We denote by $\Hp$ the Hilbert space of ordinary Dirichlet series with square-summable coefficients. The main result is that a bounded sequence of points in the half-plane $\sigma >1/2$ is an interpolating sequence for $\Hp$ if and only if it is an ...
Olsen, Jan-Fredrik, Seip, Kristian
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Hahn Sequence Space of Modals [PDF]
The history of modal intervals goes back to the very first publications on the topic of interval calculus. The modal interval analysis is used in Computer graphics and Computer Aided Design (CAD), namely, the computation of narrow bounds on Bezier and B-Spline curves.
Balasubramanian, T. +1 more
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