Analysis of Subgradient Extragradient Iterative Schemes for Variational Inequalities | Zendy

Danfeng Wu | Zendy; Li-Jun Zhu | Zendy; Zhuang Shan | Zendy; Tzu-Chien Yin | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Analysis of Subgradient Extragradient Iterative Schemes for Variational Inequalities

Author(s) -

Danfeng Wu,

Li-Jun Zhu,

Zhuang Shan,

Tzu-Chien Yin

Publication year - 2021

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2021/2218666

Subject(s) - subgradient method , variational inequality , mathematics , hilbert space , monotone polygon , convergence (economics) , inertial frame of reference , strongly monotone , weak convergence , mathematical optimization , pure mathematics , computer science , physics , geometry , computer security , quantum mechanics , economics , asset (computer security) , economic growth

In this paper, we investigate the monotone variational inequality in Hilbert spaces. Based on Censor’s subgradient extragradient method, we propose two modified subgradient extragradient algorithms with self-adaptive and inertial techniques for finding the solution of the monotone variational inequality in real Hilbert spaces. Strong convergence analysis of the proposed algorithms have been obtained under some mild conditions.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research