Regularization method for Noor’s variational inequality problem induced by a hemicontinuous monotone operator

Fixexd point theory and applications

Yeol Je Cho¹  Narin Petrot² 

[1] Department of Mathematics Education and the RINS, Gyeongsang National University, Chinju, Korea;Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok, Thailand

关键词: general variational inequality problem;    regularization;    hemicontinuous mapping;    monotone mapping;    inverse strongly monotone mapping;   

DOI  :  10.1186/1687-1812-2012-169

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we provide a regularization method for finding a solution of Noor’s variational inequality problem induced by a hemicontinuous monotone operator. Moreover, such a solution is related to the set of zero of inverse strongly monotone mappings. Consequently, since we do not assume the strong monotonicity of the considered operator, our results are general and extend some well-known results in the literature.

【 授权许可】

CC BY