A self-adaptive viscosity-type inertial extragradient algorithm for solving monotone variational inequality and paramonotone equilibrium problem
ZHAO Yali
DONG Qixin
HUANG Xiaoqing
TIAN Peitong
Abstract：In this paper,we introduce a self-adaptive viscosity-type inertial extragradient algorithm to solve monotone variational inequality problem and paramonotone equilibrium problem in real Hilbert space.Based on the self-adaptive method,inertial technique is used to accelerate the convergence speed of the method.Under the assumption of monotonicity of the related mappings,the strong convergence of the iterative algorithm is established.The results presented here improve and generalize many existing results in this direction.
Keywords：variational inequality problemequilibrium problemparamonotonicityalgorithmstrong convergence
Publication Date：2025-06-15
Online Publishing Date：2025-09-09(First online date of this platform, not the publication date of the document)
Pages：12( 114-125 )