Results 11 to 20 of about 5,935,258 (364)

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

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

Ulam stability of functional equations in 2-Banach spaces via the fixed point method

open access: yesJournal of Fixed Point Theory and Applications, 2021
Using the fixed point method, we prove the Ulam stability of two general functional equations in several variables in 2-Banach spaces. As corollaries from our main results, some outcomes on the stability of a few known equations being special cases of ...
K. Ciepliński
semanticscholar   +1 more source

A Common Fixed Point Theorem Using an Iterative Method [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2020
Let $ H$ be a Hilbert space and $C$ be a closed, convex and nonempty subset of $H$. Let $T:C rightarrow H$ be a non-self and non-expansive mapping. V. Colao and G.
Ali Bagheri Vakilabad
doaj   +1 more source

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

The Enhanced Fixed Point Method: An Extremely Simple Procedure to Accelerate the Convergence of the Fixed Point Method to Solve Nonlinear Algebraic Equations

open access: yesMathematics, 2022
This work proposes the Enhanced Fixed Point Method (EFPM) as a straightforward modification to the problem of finding an exact or approximate solution for a linear or nonlinear algebraic equation.
Uriel Filobello-Nino   +6 more
doaj   +1 more source

Solving Integral Equation and Homotopy Result via Fixed Point Method

open access: yesMathematics, 2023
The aim of the present research article is to investigate the existence and uniqueness of a solution to the integral equation and homotopy result. To achieve our objective, we introduce the notion of (α,η,ψ)-contraction in the framework of F-bipolar ...
Badriah Alamri
doaj   +1 more source

A note on fixed point method and linear complementarity problem

open access: yesJournal of Numerical Analysis and Approximation Theory, 2023
In this article, we present a general form of the fixed point method for processing the large and sparse linear complementarity problem, as well as a general condition for the method's convergence when the system matrix is a \(P\)-matrix and some ...
Bharat Kumar, Deepmala, Arup K Das
doaj   +1 more source

Inexact fixed-point iteration method for nonlinear complementarity problems

open access: yesJournal of Algorithms & Computational Technology, 2023
Based on the modulus decomposition, the structured nonlinear complementarity problem is reformulated as an implicit fixed-point system of nonlinear equations. Distinguishing from some existing modulus-based matrix splitting methods, we present a flexible
Xiaobo Song   +3 more
doaj   +1 more source

On fixed point generalizations of Suzuki’s method [PDF]

open access: yesApplied Mathematics Letters, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Naseer Shahzad   +2 more
openaire   +1 more source

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