An Algorithm for Solving Common Points of Convex Minimization Problems with Applications

被引：0

作者：

Hanjing, Adisak ^{[1
]}

Pholasa, Nattawut ^{[2
]}

Suantai, Suthep ^{[3
,4
]}

机构：

[1] Rajamangala Univ Technol Isan Surin Campus, Dept Sci & Math, Surin 32000, Thailand

[2] Univ Phayao, Sch Sci, Phayao 56000, Thailand

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

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

来源：

SYMMETRY-BASEL | 2023年 / 15卷 / 01期

关键词：

Hilbert space; forward-backward algorithm; convergence theorems; convex minimization problems; fixed point; FORWARD-BACKWARD ALGORITHM; THRESHOLDING ALGORITHM; CONVERGENCE; MAPPINGS;

D O I：

10.3390/sym15010007

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In algorithm development, symmetry plays a vital part in managing optimization problems in scientific models. The aim of this work is to propose a new accelerated method for finding a common point of convex minimization problems and then use the fixed point of the forward-backward operator to explain and analyze a weak convergence result of the proposed algorithm in real Hilbert spaces under certain conditions. As applications, we demonstrate the suggested method for solving image inpainting and image restoration problems.

引用

页数：14

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