Two Regularization Methods for the Variational Inequality Problem over the Set of Solutions of the Generalized Mixed Equilibrium Problem

被引：1

作者：

Song, Yanlai ^{[1
]}

Bazighifan, Omar ^{[2
,3
]}

机构：

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

[2] Int Telemat Univ Uninettuno, Sect Math, Corso Vittorio Emanuele II 39, I-00186 Rome, Italy

[3] Hadhramout Univ, Dept Math, Fac Sci, Mukalla 50512, Yemen

来源：

MATHEMATICS | 2022年 / 10卷 / 16期

关键词：

Hilbert space; strong convergence; monotone operator; regularization method; Tseng's extragradient method;

D O I：

10.3390/math10162981

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, we consider bilevel problems: variational inequality problems over the set of solutions of the generalized mixed equilibrium problems. Two new inertial extragradient methods are proposed for solving these problems. Under appropriate conditions, we prove strong convergence theorems for the proposed methods by the regularization technique. Finally, some numerical examples are provided to show the efficiency of the proposed algorithms.

引用

页数：20

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