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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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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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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 Methods for a Certain Class of Operators
Journal of Optimization Theory and Applications, 2012In this paper, iterative procedures for computing fixed points of a new class of operators, which contains semimonotone additive inverse and nonexpanding mappings, are presented. The inexact solutions of the subproblem and the relative error criteria of the algorithm are given. Weak and strong convergence of the sequence are discussed, respectively, in
Gárciga Otero, Rolando, Iusem, Alfredo
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The fixed point method in analysis.
1936zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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An improvement to the fixed point iterative method
Applied Mathematics and Computation, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Biazar, Jafar, Amirteimoori, Alireza
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A Fixed Point Iterative Method for Third-order Tensor Linear Complementarity Problems
Journal of Optimization Theory and Applications, 2023Xuezhong Wang, Ping Wei, Yimin Wei
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Extensions of the Fix-Point Method I: The GEID estimata and the fractional Fix-Point Method
Économie appliquée, 1973Ågren Anders. Extensions of the Fix-Point Method I: The GEID estimata and the fractional Fix-Point Method. In: Économie appliquée, tome 26 n°2-4,1973. pp. 561-582.
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Journal of Fixed Point Theory and Applications, 2020
A. Turab, W. Sintunavarat
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A. Turab, W. Sintunavarat
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The sandwich method for computing fixed points
ACM SIGMAP Bulletin, 1973Many equilibrium and optimization problems in economics and operations research can be put in the form: Find x such that f(x) = x, where x is a nonnegative vector with component sum one and f is a continuous function (not necessarily differentiable, convex, or concave).
H. W. Kuhn, J. G. MacKinnon
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