An explicit parallel algorithm for solving variational inclusion problem and fixed point problem in Banach spaces

被引：19

作者：

Cholamjiak, Prasit ^{[1
]}

Suantai, Suthep ^{[2
]}

Sunthrayuth, Pongsakorn ^{[3
]}

机构：

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

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

[3] Rajamangala Univ Technol Thanyaburi RMUTT, Fac Sci & Technol, Dept Math & Comp Sci, Pathum Thani 12110, Thailand

来源：

BANACH JOURNAL OF MATHEMATICAL ANALYSIS | 2020年 / 14卷 / 01期

关键词：

Variational inclusion; Banach space; Strong convergence; Accretive operator; ITERATIVE ALGORITHMS; MONOTONICITY; CONVERGENCE;

D O I：

10.1007/s43037-019-00030-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we introduce an explicit parallel algorithm for finding a common element of zeros of the sum of two accretive operators and the set of fixed point of a nonexpansive mapping in the framework of Banach spaces. We prove its strong convergence under some mild conditions. Finally, we provide some applications to the main result. The results presented in this paper extend and improve the corresponding results in the literature.

引用

页码：20 / 40

页数：21

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