Analysis of Subgradient Extragradient Method for Variational Inequality Problems and Null Point Problems

被引：1
|
作者：
Song, Yanlai [1 ]
Chen, Xinhong [1 ]
机构：
[1] Zhongyuan Univ Technol, Coll Sci, Zhengzhou 450007, Peoples R China
来源：
SYMMETRY-BASEL | 2022年 / 14卷 / 04期
关键词：
Hilbert space; monotone operator; subgradient extragradient method; regularization method; strong convergence; STRONG-CONVERGENCE; ALGORITHMS; EQUILIBRIUM;
D O I：
10.3390/sym14040636
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 this paper, we introduce a new numerical method for finding a common solution to variational inequality problems involving monotone mappings and null point problems involving a finite family of inverse-strongly monotone mappings. The method is inspired by the subgradient extragradient method and the regularization method. Strong convergence results of the proposed algorithms have been obtained under some suitable conditions.
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页数：13
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