Shrinking projection methods involving inertial forward-backward splitting methods for inclusion problems

被引：55

作者：

Khan, Suhel Ahmad ^{[1
]}

Suantai, Suthep ^{[2
]}

Cholamjiak, Watcharaporn ^{[3
]}

机构：

[1] BITS Pilani, Dept Math, Dubai Campus,POB 345055, Dubai, U Arab Emirates

[2] Chiang Mai Univ, Fac Sci, Dept Math, Ctr Excellence Math & Appl Math, Chiang Mai 50200, Thailand

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

来源：

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2019年 / 113卷 / 02期

关键词：

Shrinking projection method; Inertial method; Inclusion problem; Maximal monotone operator; Forward-backward algorithm; 47H04; 47H10;

D O I：

10.1007/s13398-018-0504-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we propose a modified forward-backward splitting method using the shrinking projection and the inertial technique for solving the inclusion problem of the sum of two monotone operators. We prove its strong convergence under some suitable conditions in Hilbert spaces. We provide some numerical experiments including a comparison to show the implementation and the efficiency of our method.

引用

页码：645 / 656

页数：12

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