A Fast Fixed-Point Algorithm for Convex Minimization Problems and Its Application in Image Restoration Problems

被引：3
|
作者：
Thongpaen, Panadda [1 ]
Wattanataweekul, Rattanakorn [2 ]
机构：
[1] Chiang Mai Univ, Dept Math, Fac Sci, Chiang Mai 50200, Thailand
[2] Ubon Ratchathani Univ, Dept Math Stat & Comp, Fac Sci, Ubon Ratchathani 34190, Thailand
来源：
MATHEMATICS | 2021年 / 9卷 / 20期
关键词：
common fixed points; Hilbert spaces; nonexpansive mappings; weak convergence; NONEXPANSIVE-MAPPINGS; STRONG-CONVERGENCE; REGRESSION; SHRINKAGE; FAMILIES; SPACES;
D O I：
10.3390/math9202619
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce a new iterative method using an inertial technique for approximating a common fixed point of an infinite family of nonexpansive mappings in a Hilbert space. The proposed method's weak convergence theorem was established under some suitable conditions. Furthermore, we applied our main results to solve convex minimization problems and image restoration problems.
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页数：13
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