Results 41 to 50 of about 178 (87)

Proximal point algorithms for zero points of nonlinear operators

open access: yes, 2014
A proximal point algorithm with double computational errors for treating zero points of accretive operators is investigated. Strong convergence theorems of zero points are established in a Banach space. MSC:47H05, 47H09, 47H10, 65J15.
Q. Yuan, Young-Cho Sun
semanticscholar   +1 more source

A new third-order iterative method for scalar nonlinear equations

open access: yes, 2014
In this paper, we establish a new third order iterative method for solving nonlinear equations. The efficiency index of the method is 1.442 2 which is the equal to the Halley’s and Householder methods.
Min-Kang Shin   +3 more
semanticscholar   +1 more source

Application of the SBA method for solving partial differential equations

open access: yes, 2018
In this paper, we use the SBA method to construct the exact solution of of some linear and nonlinear partial differential equations.Four models from mathematical physics have been successfully investigated.
Beyi Boukary   +4 more
semanticscholar   +1 more source

Estimating radius of convergence for modified Newton method

open access: yes, 2017
The paper investigate the local convergence and local convergence radius of a variant of modified Newton method for solving nonlinear equations. Two (unlike) algorithms for the estimation of local convergence radius are given.
I. Argyros, Ş. Măruşter
semanticscholar   +1 more source

The contraction-proximal point algorithm with square-summable errors

open access: yes, 2013
In this paper, we study the contraction-proximal point algorithm for approximating a zero of a maximal monotone mapping. The norm convergence of such an algorithm has been established under two new conditions.
Chang-An Tian, Fenghui Wang
semanticscholar   +1 more source

Iterative methods for constrained convex minimization problem in Hilbert spaces

open access: yes, 2013
In this paper, based on Yamada’s hybrid steepest descent method, a general iterative method is proposed for solving constrained convex minimization problem.
M. Tian, Li-Hua Huang
semanticscholar   +1 more source

A modified Mann iteration for zero points of accretive operators

open access: yes, 2013
A modified Mann iteration with computational errors is investigated. A strong convergence theorem for zero points of an m-accretive operator is established in a Banach space.MSC:47H06, 47H09, 47J25, 65J15.
Jian-Min Song, Min-Jiang Chen
semanticscholar   +1 more source

Shrinking projection algorithms for equilibrium problems with a bifunction defined on the dual space of a Banach space

open access: yes, 2011
Shrinking projection algorithms for finding a solution of an equilibrium problem with a bifunction defined on the dual space of a Banach space, in this paper, are introduced and studied.
Jia-Wei Chen, Yeol Je Cho, Z. Wan
semanticscholar   +1 more source

Hybrid methods for accretive variational inequalities involving pseudocontractions in Banach spaces

open access: yesFixed Point Theory and Applications, 2011
We use strongly pseudocontractions to regularize a class of accretive variational inequalities in Banach spaces, where the accretive operators are complements of pseudocontractions and the solutions are sought in the set of fixed points of another ...
Chen Rudong, Wang Yaqin
doaj  

Convergence of Halley’s method for operators with the bounded second Fréchet-derivative in Banach spaces

open access: yes, 2013
In this paper, we present a semi-local convergence analysis of Halley’s method for approximating a locally unique solution of a nonlinear equation in a Banach space setting, where we assume that the second Fréchet-derivative is bounded.
I. Argyros, Y. Cho, H. Ren
semanticscholar   +1 more source

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