Results 81 to 90 of about 20,082 (312)
An algorithm for the split-feasibility problems with application to the split-equality problem
In this paper, we study the split-feasibility problem in Hilbert spaces by using the projected reflected gradient algorithm. As applications, we study the convex linear inverse problem and the split-equality problem in Hilbert spaces, and we give new ...
Chih-Sheng Chuang, Chi-Ming Chen
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Čebyšev sets in Hilbert space [PDF]
11x-y > 11x-p(x) | if yeTandy =#p(x). In this case, we call the function x -- p(x) the metric projection onto T. If a set Tc H has the property that to each point in H there is a (not necessarily unique) nearest point in H, then we will call T an existence set.
openaire +1 more source
Reversing the CBS-inequality for sequences of vectors in Hilbert spaces with applications (I)
Several reverses for the Cauchy-Bunyakovsky-Schwarz (CBS) inequality for sequences of vectors in Hilbert spaces are obtained. Applications for bounding the distance to a finite-dimensional subspace and in reversing the generalised triangle inequality are
Dragomir, Sever S
core
ABSTRACT Waste management remains a critical grand challenge in African countries. While entrepreneurship has been a viable strategy for addressing this challenge, it is fraught with constraints. This study investigates the strategies orchestrated by entrepreneurs to navigate adversity in Waste management and ensure the social and economic viability of
Tahiru Azaaviele Liedong +3 more
wiley +1 more source
New Reverse Inequalities for Normal Operators in Hilbert Spaces
In this paper, more reverse inequalities for the class of normal operators, are established. Some of the obtained results are based on recent reverse results for the Schwarz inequality in Hilbert spaces due to the ...
Dragomir, Sever S
core
Brussels-Austin Nonequilibrium Statistical Mechanics in the Later Years: Large Poincaré Systems and Rigged Hilbert Space [PDF]
This second part of a two-part essay discusses recent developments in the Brussels-Austin Group after the mid 1980s. The fundamental concerns are the same as in their similarity transformation approach (see Part I), but the contemporary approach utilizes
Bishop, Robert
core
ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone +3 more
wiley +1 more source
Harmonic blending approximation
The concept of harmonic Hilbert space \(H_D({\mathbb R} ^n)\) was introduced in [2] as an extension of periodic Hilbert spaces [1], [2], [5], [6]. In [4] we introduced multivariate harmonic Hilbert spaces and studied approximation by exponential-type ...
Franz-Jürgen Delvos
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Stability of Viscous Three‐Dimensional Stratified Couette Flow via Dispersion and Mixing
ABSTRACT This article explores the stability of stratified Couette flow in the viscous 3d$3d$ Boussinesq equations. In this system, mixing effects arise from the shearing background, and gravity acts as a restoring force leading to dispersive internal gravity waves.
Michele Coti Zelati +2 more
wiley +1 more source
Fixed points in countably Hilbert spaces
Studying fixed points of nonlinear mappings in Hilbert spaces is of paramount importance (see, e.g., (Browder and Petryshyn in J. Math. Anal. Appl. 20:197-228, 1967)).
Nashat Faried, Hany A El-Sharkawy
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