Results 11 to 20 of about 1,874,752 (330)

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

A modified fixed point method for biochemical transport

open access: yesBoletim da Sociedade Paranaense de Matemática, 2022
This work is devoted to a modified fixed point method applied to the bio-chemical transport equation. To have a good accuracy for the solution we treat, we apply an implicit scheme to this equation and use a modified fixed point technique to linearize ...
Mohamed Ridouan Amattouch   +1 more
doaj   +1 more source

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

Geometrically Constructed Family of the Simple Fixed Point Iteration Method

open access: yesMathematics, 2021
This study presents a new one-parameter family of the well-known fixed point iteration method for solving nonlinear equations numerically. The proposed family is derived by implementing approximation through a straight line.
Vinay Kanwar   +6 more
doaj   +1 more source

The RAS Method with Random Fixed Points [PDF]

open access: yesJournal of Economics and Business, 2018
Today many economists believe that RAS is the initials of economist Richard Stone, who is also the father of the National Financial System (SNA). This idea was introduced to update and reconcile the total supply and total use vectors in the input output table (I.O.T), supply and use tables (S.U.T) and social account matrix (SAM).
Bui Quoc   +3 more
openaire   +2 more sources

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

open access: yesApplied Mathematics Letters, 2011
AbstractIn order to generalize the well-known Banach contraction theorem, many authors have introduced various types of contraction inequalities. In 2008, Suzuki introduced a new method (Suzuki (2008) [4]) and then his method was extended by some authors (see for example, Dhompongsa and Yingtaweesittikul (2009), Kikkawa and Suzuki (2008) and Mot and ...
Naseer Shahzad   +2 more
openaire   +1 more source

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   +1 more source

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