Iterative methods for solving quasi-variational inclusion and fixed point problem in q-uniformly smooth Banach spaces

被引：18

作者：

Sunthrayuth, Pongsakorn ^{[1
]}

Cholamjiak, Prasit ^{[2
]}

机构：

[1] Rajamangala Univ Technol Thanyaburi RMUTT, Fac Sci & Technol, Dept Math & Comp Sci, 39 Rangsit Nakhonnayok Rd,Klong 6, Thanyaburi 12110, Pathumthani, Thailand

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

来源：

NUMERICAL ALGORITHMS | 2018年 / 78卷 / 04期

关键词：

Variational inequality; Banach space; Strong convergence; Iterative method; m-accretive operator; SUNNY NONEXPANSIVE RETRACTIONS; STRONG-CONVERGENCE THEOREMS; BACKWARD SPLITTING METHOD; MONOTONE-OPERATORS; ALGORITHMS; CONSTRUCTION; SUM; APPROXIMATION; INEQUALITIES; MAPPINGS;

D O I：

10.1007/s11075-017-0411-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we introduce implicit and explicit iterations for solving the variational inclusion problem for the sum of two operators and the fixed point problem of nonexpansive mappings. We then prove its strong convergence theorems in the framework of Banach spaces. We finally provide some applications of the main results.

引用

页码：1019 / 1044

页数：26

共 42 条

[1] Parallel algorithms for variational inclusions and fixed points with applications [J].