A NOVEL ACCELERATED ALGORITHM FOR SOLVING SPLIT VARIATIONAL INCLUSION PROBLEMS AND FIXED POINT PROBLEMS

被引：1

作者：

Pei, Yonggang ^{[1
]}

Chen, Yanyan ^{[1
]}

Song, Shaofang ^{[1
]}

机构：

[1] Henan Normal Univ, Coll Math & Informat Sci, Engn Lab Big Data Stat Anal & Optimal Control, Xinxiang 453007, Peoples R China

来源：

JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS | 2023年 / 2023卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Demimetric mappings; Hybrid inertial accelerated algorithm; Line search; Numerical experiment; Split variational inclusion; SHRINKING PROJECTION METHOD; INEQUALITY PROBLEMS; CONVERGENCE; MAPPINGS;

D O I：

10.23952/jnfa.2023.19

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Motivated by the Tseng's extragradient method and the Moudafi's viscosity method, a new hybrid iner-tial accelerated algorithm with the line search technique is proposed for solving fixed point problems of demimetric mappings and split variational inclusion problems. A strong convergence theorem is established under some mild conditions. Our proof is different with from those presented in the literatures. In addition, numerical results are reported to support the main results.

引用

页数：14

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