Modified three-term derivative-free projection method for solving nonlinear monotone equations with application

被引:0
|
作者
Muhammad Abdullahi
Auwal Bala Abubakar
Kanikar Muangchoo
机构
[1] Sule Lamido University,Department of Mathematics, Faculty of Natural and Applied Sciences
[2] Bayero University,Numerical Optimization Research Group, Department of Mathematical Sciences, Faculty of Physical Sciences
[3] Central South University,School of Mathematics and Statistics, HNP
[4] Sefako Makgatho Health Sciences University,LAMA
[5] Rajamangala University of Technology Phra Nakhon (RMUTP),Department of Mathematics and Applied Mathematics
来源
Numerical Algorithms | 2024年 / 95卷
关键词
Projection algorithm; Monotone nonlinear equations; Global convergence; Image restoration; 65K05; 90C52; 90C56; 94A08;
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中图分类号
学科分类号
摘要
In this paper, we propose a new modification of a three-term derivative-free projection algorithm for solving a system of monotone nonlinear equations. The global convergence was proved under some suitable conditions, and the search direction of the proposed algorithm satisfies the sufficient descent property. Numerical computations were presented to display the efficacy of the proposed algorithm compared to some existing algorithms. Moreover, the proposed algorithm is applied to solve problems of image recovery.
引用
收藏
页码:1459 / 1474
页数:15
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