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.
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页数：15
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