Viscosity Approximation Methods for a General Variational Inequality System and Fixed Point Problems in Banach Spaces

被引：4

作者：

Wang, Yuanheng ^{[1
]}

Pan, Chanjuan ^{[1
]}

机构：

[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China

来源：

SYMMETRY-BASEL | 2020年 / 12卷 / 01期

基金：

中国国家自然科学基金;

关键词：

strong convergence; fixed point; general variational inequality system; asymptotically non-expansive mapping; Banach space; NONEXPANSIVE-MAPPINGS; ITERATIVE ALGORITHM; CONTRACTIONS;

D O I：

10.3390/sym12010036

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 Banach spaces, we study the problem of solving a more general variational inequality system for an asymptotically non-expansive mapping. We give a new viscosity approximation scheme to find a common element. Some strong convergence theorems of the proposed iterative method are obtained. A numerical experiment is given to show the implementation and efficiency of our main theorem. Our results presented in this paper generalize and complement many recent ones.

引用

页数：15

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