An algorithm for solving a class of accretive variational inequalities involving pseudo-contractions

被引：0

作者：

Sitthithakerngkiet, Kanokwan ^{[1
]}

Song, Yanlai ^{[2
]}

Kumam, Poom ^{[3
,4
]}

机构：

[1] KMUTNB, Nonlinear Dynam Anal Res Ctr, Fac Sci Appl, Dept Math, Bangkok 10800, Thailand

[2] Zhongyuan Univ Technol, Coll Sci, Zhengzhou 450007, Henan, Peoples R China

[3] KMUTT, Dept Math, KMUTT Fixed Point Theory & Applicat Res Grp KMUTT, Theoret & Computat Sci Ctr TaCS,Fac Sci, Sci Lab Bldg,126 Pracha Uthit Rd, Bangkok 10140, Thailand

[4] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan

来源：

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2019年 / 21卷 / 03期

关键词：

Banach space; accretive operator; variational inequality; pseudo-contraction; STRONG-CONVERGENCE; ITERATIVE ALGORITHMS; FIXED-POINTS; THEOREMS;

D O I：

10.1007/s11784-019-0708-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to solving the following accretive variational inequality for finding xFix(T) such that where j(x-x)J(x-x), A is an accretive operator and Fix(T) is the set of fixed points of pseudo-contraction T. For this purpose, we construct an implicit algorithm and prove its convergence hierarchical to the solution of accretive variational inequality. Moreover, numerical experiments are presented to illustrate the effectiveness of our proposed algorithm and these numerical results show that our result is computationally easier and faster than previously known results on variational inequality problems.

引用

页数：18

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