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Fixed-Point Methods in Nonlinear Control

IMA Journal of Mathematical Control and Information, 1988
Using the fixed point approach many different problems in control theory are studied. Several results concerning controllability, observability, parameter estimation and adaptive regulation for the so called ``semilinear'' dynamical systems are presented. All the results described make use of the various types of fixed point theorems. The importance of
Carmichael, N., Quinn, M. D.
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On the Fixed Point Method and Bloch’s Theorem

Michigan Mathematical Journal, 2021
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.
Jafar Biazar, Alireza Amirteimoori
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Fixed-point Methods

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.
Michael Charles Crabb   +1 more
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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 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
Rolando Gárciga Otero, Alfredo N. Iusem
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Extensions of the Fix-Point Method II: The Recursive Fix-Point Method

Économie appliquée, 1973
Bodin 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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