CONVEX MINIMIZATION PROBLEMS BASED ON AN ACCELERATED FIXED POINT ALGORITHM WITH APPLICATIONS TO IMAGE RESTORATION PROBLEMS

被引：1

作者：

Thongpaen, Panadda ^{[1
]}

Inthakon, Warunun ^{[2
,3
]}

Kaewkhao, Attapol ^{[2
,3
]}

Suantai, Suthep ^{[2
,3
]}

机构：

[1] Chiang Mai Univ, Fac Sci, Dept Math, Chiang Mai 50200, Thailand

[2] Chiang Mai Univ, Fac Sci, Dept Math, Res Grp Math & Appl Math, Chiang Mai 50200, Thailand

[3] Chiang Mai Univ, Fac Sci, Data Sci Res Ctr, Dept Math, Chiang Mai 50200, Thailand

来源：

JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS | 2023年 / 7卷 / 01期

关键词：

Common fixed points; Inertial forward-backward splitting; Images restoration problems; Nonexpansive mappings; Weak convergence; STRONG-CONVERGENCE THEOREMS; NONEXPANSIVE-MAPPINGS; HYBRID METHOD; FAMILIES; APPROXIMATION; REGRESSION; SHRINKAGE;

D O I：

10.23952/jnva.7.2023.1.06

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a new accelerated fixed point algorithm for finding a common fixed point of two countable families of nonexpansive mappings in a Hilbert space is introduced. The weak convergence of the proposed algorithm is analyzed under some suitable conditions. We apply our proposed algorithm to solve the convex optimization problems in the form of the sum of two lower semi-continuous and convex functions. Some numerical experiments are conducted to demonstrate the efficiency of the proposed algorithm.

引用

页码：87 / 101

页数：15

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