Subgradient-like extragradient algorithms for systems of variational inequalities with constraints-Reference-Cited by-同舟云学术

Subgradient-like extragradient algorithms for systems of variational inequalities with constraints

Published:2023 Issue:21 Volume:37 Page:7181-7197
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Ceng Lu-Chuan¹,Yin Tzu-Chien²

Affiliation:

1. Department of Mathematics, Shanghai Normal University, Shanghai, China

2. Research Center for Interneural Computing, China Medical University Hospital, China Medical University, Taichung, Taiwan

Abstract

In this paper, we introduce a modified viscosity subgradient-like extragradient implicit rule with line-search process for finding a solution of a general system of variational inequalities (GSVI) with a variational inequality (VIP) and a fixed-point (FPP) constraints in Hilbert spaces. The suggested algorithms are based on the subgradient extragradient method with line-search process, hybrid Mann implicit iteration method, and composite viscosity approximation method. Under suitable restrictions, we demonstrate the strong convergence of the suggested algorithm to a solution of the GSVI with the VIP and FPP constraints, which is a unique solution of a certain hierarchical variational inequality.

Publisher

National Library of Serbia

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