Modified inertial subgradient extragradient algorithms for generalized equilibria systems with constraints of variational inequalities and fixed points

被引：4

作者：

Ceng, Lu-Chuan ^{[1
]}

Chen, Shih-Hsin ^{[2
]}

Liou, Yeong-Cheng ^{[3
,4
,5
,6
]}

Yin, Tzu-Chien ^{[7
]}

机构：

[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China

[2] Tamkang Univ, Dept Comp Sci & Informat Engn, Taipei, Taiwan

[3] Kaohsiung Med Univ, Dept Healthcare Adm & Med Informat, Kaohsiung 807, Taiwan

[4] Kaohsiung Med Univ, Res Ctr Nonlinear Anal & Optimizat, Kaohsiung 807, Taiwan

[5] Kaohsiung Med Univ Hosp, Project Management Off Intelligence Healthcare, Kaohsiung 807, Taiwan

[6] Kaohsiung Med Univ Hosp, Dept Med Res, Kaohsiung 807, Taiwan

[7] China Med Univ, China Med Univ Hosp, Res Ctr Interneural Comp, Taichung 40402, Taiwan

来源：

AIMS MATHEMATICS | 2024年 / 9卷 / 06期

关键词：

system of generalized equilibrium problems; modified inertial subgradient extragradient algorithm; common fixed point; variational inequality; STRONG-CONVERGENCE; THEOREMS;

D O I：

10.3934/math.2024672

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this research, we studied modified inertial composite subgradient extragradient implicit rules for finding solutions of a system of generalized equilibrium problems with a common fixed-point problem and pseudomonotone variational inequality constraints. The suggested methods consisted of an inertial iterative algorithm, a hybrid deepest -descent technique, and a subgradient extragradient method. We proved that the constructed algorithms converge to a solution of the considered problem, which also solved some hierarchical variational inequality.

引用

页码：13819 / 13842

页数：24

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