Results 301 to 310 of about 5,935,258 (364)
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1998
In this somewhat technical section we look at the theory of fibrewise ENRs and ANRs. The results are mostly due to Dold [47]. Our restriction to base spaces which are ENRs allows us to simplify the exposition at several points. We begin with a discussion of some of the properties of ENRs and ANRs which we have already used in earlier sections.
M. C. Crabb, Ioan Mackenzie James
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In this somewhat technical section we look at the theory of fibrewise ENRs and ANRs. The results are mostly due to Dold [47]. Our restriction to base spaces which are ENRs allows us to simplify the exposition at several points. We begin with a discussion of some of the properties of ENRs and ANRs which we have already used in earlier sections.
M. C. Crabb, Ioan Mackenzie James
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Sandwich method for finding fixed points
Journal of Optimization Theory and Applications, 1975The sandwich method is a technique which uses simplicial subdivision to compute Brouwer fixed points and solve related problems, such as finding general economic equilibria. This paper presents a self-contained account of the sandwich method. It introduces the basic concepts of simplicial subdivision and the process ofsandwiching, demonstrates the ...
J. G. MacKinnon, H. W. Kuhn
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On the projection methods for fixed point problems
Analysis, 2001Let \(G\) be a subset of a Banach space \(B\). A mapping \(A\) is called weakly contractive if there exists a continuous, nondecreasing function \(\psi(t)\), defined on \(\mathbb{R}^{+}\) such that \(\psi\) is positive on \(\mathbb{R}^{+} \setminus \{0\}, \lim_{t \to \infty} \psi (t) = + \infty\) and, for each \(x, y, \in G, (1) \|Ax - Ay\|\leq \|x - y\
Y. Alber, S. Guerre-Delabriere
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Programmological aspects of the fixed point method
Cybernetics and Systems Analysis, 1994zbMATH Open Web Interface contents unavailable due to conflicting licenses.
D. B. Bui, V. N. Red'ko
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Extensions of the Fix-Point Method II: The Recursive Fix-Point Method
Économie appliquée, 1973Bodin Lennart. Extensions of the Fix-Point Method II: The Recursive Fix-Point Method. In: Économie appliquée, tome 26 n°2-4,1973. pp. 583-607.
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A relaxed fixed point method for a mean curvature-based denoising model
Optim. Methods Softw., 2013Mean curvature-based energy minimization denoising model by Zhu and Chan offers one approach for restoring both smooth (no edges) and non-smooth (with edges) images.
Fenlin Yang, Ke Chen, Bo Yu, D. Fang
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IEEE transactions on industrial electronics (1982. Print), 2022
The sigmoid function is a widely used nonlinear activation function in neural networks. In this article, we present a modular approximation methodology for efficient fixed-point hardware implementation of the sigmoid function.
Zhe Pan +4 more
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The sigmoid function is a widely used nonlinear activation function in neural networks. In this article, we present a modular approximation methodology for efficient fixed-point hardware implementation of the sigmoid function.
Zhe Pan +4 more
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A Fixed Point Method for Finding Percentage Points
Applied Statistics, 1991Summary: Iterative methods for finding accurate estimates of percentage points are usually based on numerical root finding techniques applied to the distribution function. In this paper we take a different approach by creating an auxiliary function, whose fixed point is shown to be the desired percentage point, and then applying Steffenson's ...
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Optimization, 2018
In this paper, we investigate the problem of finding a common solution to a fixed point problem involving demi-contractive operator and a variational inequality with monotone and Lipschitz continuous mapping in real Hilbert spaces.
A. Gibali, Y. Shehu
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In this paper, we investigate the problem of finding a common solution to a fixed point problem involving demi-contractive operator and a variational inequality with monotone and Lipschitz continuous mapping in real Hilbert spaces.
A. Gibali, Y. Shehu
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Fixed-Point Quasi-Newton Methods
SIAM Journal on Numerical Analysis, 1992This paper studies iterative methods of the form (1) \(x_{k+1}=\Phi(x_ k,E_ k)\) where \(x_ k\in\mathbb{R}^ n\), and \(E_ k\) belongs to some parameter space. Three examples of methods which may be written in this form are given, namely quasi-Newton methods for nonlinear systems, sequential quadratic programming and nonlinear complementarity.
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