Iterative methods for optimization problems and image restoration

被引：5
|
作者：
Padcharoen, Anantachai [1 ]
Kitkuan, Duangkamon [1 ]
机构：
[1] Rambhai Barni Rajabhat Univ, Fac Sci & Technol, Dept Math, Chanthaburi 22000, Thailand
来源：
CARPATHIAN JOURNAL OF MATHEMATICS | 2021年 / 37卷 / 03期
关键词：
Convex minimization; proximal mapping technique; Hilbert space; approximation method; optimization problems; image restoration; STRONG-CONVERGENCE; SHRINKAGE; MAPPINGS; FAMILIES;
D O I：
10.37193/CJM.2021.03.12
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce a new accelerated iterative method for finding a common fixed point of a countable family of nonexpansive mappings in the Hilbert spaces framework. Using our main result, we obtain a new accelerated image restoration iterative method for solving a minimization problem in the form of the sum of two proper lower semi-continuous and convex functions. As applications, we apply our algorithm to solving image restoration problems.
引用
收藏
页码：497 / 512
页数：16
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