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Operator means deformed by a fixed point method [PDF]

open access: yesarXiv, 2017
By means of a fixed point method we discuss the deformation of two-variable and multivariate operator means of positive definite matrices/operators. It is shown that the deformation of any operator mean in the Kubo–Ando sense becomes again an operator ...
F. Hiai
semanticscholar   +6 more sources

General fixed-point method for solving the linear complementarity problem

open access: yesAIMS Mathematics, 2021
In this paper, we consider numerical methods for the linear complementarity problem (LCP). By introducing a positive diagonal parameter matrix, the LCP is transformed into an equivalent fixed-point equation and the equivalence is proved.
Xi-Ming Fang
doaj   +2 more sources

A note on a fixed-point method for deconvolution [PDF]

open access: yesStatistics, 2017
In this paper we study a particular multidimensional deconvolution problem. The distribution of the noise is assumed to be of the form $G(dx) = (1 − \alpha)\delta(dx) + \alpha g(x)dx$, where $\delta$ is the Dirac mass at $0\in R^d$ , $g : R^d → [0, \infty)$ is a density and $\alpha \in [0, 1 2 [$.
C. Duval
semanticscholar   +4 more sources

Fixed point theorems in locally convex spaces—the Schauder mapping method [PDF]

open access: greenFixed Point Theory and Applications, 2006
In the appendix to the book by F. F. Bonsal, Lectures on Some Fixed Point Theorems of Functional Analysis (Tata Institute, Bombay, 1962) a proof by Singbal of the Schauder-Tychonoff fixed point theorem, based on a locally convex variant of Schauder ...
Cobzaş S
doaj   +3 more sources

Revisiting Blasius Flow by Fixed Point Method [PDF]

open access: yesAbstract and Applied Analysis, 2014
The well-known Blasius flow is governed by a third-order nonlinear ordinary differential equation with two-point boundary value. Specially, one of the boundary conditions is asymptotically assigned on the first derivative at infinity, which is the main ...
Ding Xu, Jinglei Xu, Gongnan Xie
doaj   +3 more sources

Fixed Point Iteration Method

open access: yesMANAS: Journal of Engineering, 2013
We discuss the problem of finding approximate solutions of the equation x)0 f()0 (1) In some cases it is possible to find the exact roots of the equation (1) for example when f(x) is a quadratic on cubic polynomial otherwise, in general, is interested
Mehmet Karakas
doaj   +2 more sources

An Extragradient Method for Mixed Equilibrium Problems and Fixed Point Problems

open access: goldFixed Point Theory and Applications, 2009
The purpose of this paper is to investigate the problem of approximating a common element of the set of fixed points of a demicontractive mapping and the set of solutions of a mixed equilibrium problem.
Liou Yeong-Cheng   +2 more
doaj   +2 more sources

Hybrid Viscosity Iterative Method for Fixed Point, Variational Inequality and Equilibrium Problems [PDF]

open access: goldFixed Point Theory and Applications, 2010
We introduce an iterative scheme by the viscosity iterative method for finding a common element of the solution set of an equilibrium problem, the solution set of the variational inequality, and the fixed points set of infinitely many nonexpansive ...
Chen Yi-An, Zhang Yi-Ping
doaj   +3 more sources

A Fixed-Point of View on Gradient Methods for Big Data [PDF]

open access: yesarXiv, 2017
Interpreting gradient methods as fixed-point iterations, we provide a detailed analysis of those methods for minimizing convex objective functions. Due to their conceptual and algorithmic simplicity, gradient methods are widely used in machine learning for massive data sets (big data).
arxiv   +7 more sources

Modified van der Pauw method based on formulas solvable by the Banach fixed point method [PDF]

open access: green, 2012
We propose a modification of the standard van der Pauw method for determining the resistivity and Hall coefficient of flat thin samples of arbitrary shape.
Jan L. Cieśliński
openalex   +3 more sources

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