Self Adaptive Iterative Algorithm for Solving Variational Inequality Problems and Fixed Point Problems in Hilbert Spaces

被引：0

作者：

Zeng, Yujiao ^{[1
]}

Cai, Gang ^{[1
]}

Dong, Qiao Li ^{[2
]}

机构：

[1] Chongqing Normal Univ, Sch Math Sci, Chongqing 401331, Peoples R China

[2] Civil Aviat Univ China, Coll Sci, Tianjin 300300, Peoples R China

来源：

ACTA APPLICANDAE MATHEMATICAE | 2023年 / 183卷 / 01期

关键词：

Variational inequality; Fixed point; Self adaptive stepsize; Extragradient method; EXTRAGRADIENT METHOD; STRONG-CONVERGENCE; MONOTONE-OPERATORS; THEOREM; WEAK;

D O I：

10.1007/s10440-022-00549-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a new modified self adaptive subgradient extragradient algorithm for solving pseudomonotone variational inequality problems and fixed point problems in Hilbert spaces. Precisely, we prove that the sequence generated by our algorithm is strongly convergent under some suitable conditions imposed on the parameters. Moreover, some numerical experiments are given to illustrate the efficiency of our proposed method.

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页数：23

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