Inertial hybrid algorithm for variational inequality problems in Hilbert spaces

Journal of inequalities and applications

article

Ming Tian¹  Bing-Nan Jiang² 

[1] Tianjin Key Lab for Advanced Signal Processing, Civil Aviation University of China;College of Science, Civil Aviation University of China

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

DOI  :  10.1186/s13660-020-2286-1

学科分类：电力

来源: SpringerOpen

【 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.

【 授权许可】

CC BY