Inertial hybrid algorithm for variational inequality problems in Hilbert spaces

[摘要] For a variational inequality problem, the inertial projection and contraction method have been studied. It has a weak convergence result. In this paper, we propose a strong convergence iterative method for finding a solution of a variational inequality problem with a monotone mapping by projection and contraction method and inertial hybrid algorithm. Our result can be used to solve other related problems in Hilbert spaces.

[学科分类] 电力

[关键词] Variational inequality problem;Inertial projection and contraction method;Strong convergence;Monotone mapping;Inertial hybrid algorithm;Hilbert spaces