Modified Inertial Projection Method for Solving Pseudomonotone Variational Inequalities with Non-Lipschitz in Hilbert Spaces  

作　　者：Duong Viet THONG 

机构地区：[1]Faculty of Mathematical Economics,National Economics University,Hanoi City,Vietnam

出　　处：《Acta Mathematica Sinica,English Series》2023年第12期2374-2392,共19页数学学报（英文版）

摘　　要：This paper deals with a class of inertial gradient projection methods for solving a vari-ational inequality problem involving pseudomonotone and non-Lipschitz mappings in Hilbert spaces.The proposed algorithm incorporates inertial techniques and the projection and contraction method.The weak convergence is proved without the condition of the Lipschitz continuity of the mappings.Meanwhile,the linear convergence of the algorithm is established under strong pseudomonotonicity and Lipschitz continuity assumptions.The main results obtained in this paper extend and improve some related works in the literature.

关 键 词：Inertial method projection and contraction method variational inequality problem pseu-domonotone mapping convergence rate 

分 类 号：O178[理学—数学]