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A Fixed Point Method for Finding Percentage Points

Applied Statistics, 1991
Summary: 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, 1992
This 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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An efficient iterative method for finding common fixed point and variational inequalities in Hilbert spaces

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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Fixed-Point Methods for a Certain Class of Operators

Journal of Optimization Theory and Applications, 2012
In 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.

1936
zbMATH 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, 2006
zbMATH 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, 2023
Xuezhong 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, 1973
Ågren 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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The sandwich method for computing fixed points

ACM SIGMAP Bulletin, 1973
Many 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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