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.
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页数：14
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