An algorithm for the split-feasibility problems with application to the split-equality problem
Journal of Inequalities and Applications, 2017 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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Ergodic and fixed point theorems for sequences and nonlinear mappings in a Hilbert space
Demonstratio Mathematica, 2018 In this paper, we introduce the notion of 2-generalized hybrid sequences, extending the notion of nonexpansive and hybrid sequences introduced and studied in our previous work [Djafari Rouhani B., Ergodic theorems for nonexpansive sequences in Hilbert ...
Rouhani Behzad Djafari
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Harmonic blending approximation
Journal of Numerical Analysis and Approximation Theory, 2001 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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Fixed points in countably Hilbert spaces
Journal of Inequalities and Applications, 2016 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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Journal of Function Spaces, 2018 We are concerned with the split common fixed point problem in Hilbert spaces. We propose a new method for solving this problem and establish a weak convergence theorem whenever the involved mappings are demicontractive and Lipschitz continuous.
Huanhuan Cui, Luchuan Ceng, Fenghui Wang
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The ADHM-like constructions for instantons on CP2 and three-dimensional gauge theories
Nuclear Physics B, 2015 We study the moduli spaces of self-dual instantons on CP2 in a simple group G. When G is a classical group, these instanton solutions can be realized using ADHM-like constructions which can be naturally embedded into certain three-dimensional quiver ...
Noppadol Mekareeya +1 more
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An Online Projection Estimator for Nonparametric Regression in Reproducing Kernel Hilbert Spaces. [PDF]
Stat Sin, 2023 Zhang T, Simon N.
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Notes on the factorisation of the Hilbert space for two-sided black holes in higher dimensions
Journal of High Energy PhysicsIn this paper, we investigate the Hilbert space factorisation problem of two-sided black holes in high dimensions. We demonstrate that the Hilbert space of two-sided black holes can be factorized into the tensor product of two one-sided bulk Hilbert ...
Pan Li
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Geometric fluctuation of conformal Hilbert spaces and multiple graviton modes in fractional quantum Hall effect. [PDF]
Nat Commun, 2023 Yuzhu W, Bo Y.
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Adaptive Supervised Learning on Data Streams in Reproducing Kernel Hilbert Spaces with Data Sparsity Constraint. [PDF]
Stat, 2023 Wang H, Li Q, Liu Y.
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