Regularization and iterative method for general variational inequality problem in hilbert spaces

Journal of inequalities and applications

Yeol JE Cho¹ 

关键词: general variational inequality problem;    regularization;    inertial proximal point algorithm;    monotone mapping;    inverse strongly monotone mapping;   

DOI  :  10.1186/1029-242X-2011-21

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

Without the strong monotonicity assumption of the mapping, we provide a regularization method for general variational inequality problem, when its solution set is related to a solution set of an inverse strongly monotone mapping. Consequently, an iterative algorithm for finding such a solution is constructed, and convergent theorem of the such algorithm is proved. It is worth pointing out that, since we do not assume strong monotonicity of general variational inequality problem, our results improve and extend some well-known results in the literature.

【 授权许可】

CC BY