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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 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

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   +2 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

A Fixed Point Method for Convex Systems

open access: goldApplied Mathematics, 2012
We present a new fixed point technique to solve a system of convex equations in several variables. Our approach is based on two powerful algorithmic ideas: operator-splitting and steepest descent direction. The quadratic convergence of the proposed approach is established under some reasonable conditions. Preliminary numerical results are also reported.
Morteza Kimiaei, Farzad Rahpeymaii
openalex   +4 more sources

Resolution of semilinear equations by fixed point methods

open access: hybridBulletin of the Belgian Mathematical Society - Simon Stevin, 2000
Pablo Amster, M. C. Mariani
openalex   +3 more sources

Fixed point quasiconvex subgradient method [PDF]

open access: yesEuropean Journal of Operational Research, 2020
Constrained quasiconvex optimization problems appear in many fields, such as economics, engineering, and management science. In particular, fractional programming, which models ratio indicators such as the profit/cost ratio as fractional objective functions, is an important instance.
Kazuhiro Hishinuma, Hideaki Iiduka
openaire   +3 more sources

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