A regularization method for treating zero points of the sum of two monotone operators

Fixexd point theory and applications

Lin Wang¹  Sun Young Cho²  Xiaolong Qin³ 

[1] College of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming, China;Department of Mathematics, Gyeongsang National University, Jinju, Korea;Department of Mathematics, Hangzhou Normal University, Hangzhou, China

关键词: maximal monotone operator;    fixed point;    nonexpansive mapping;    proximal point algorithm;    zero point;   

DOI  :  10.1186/1687-1812-2014-75

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, a regularization method for treating zero points of the sum of two monotone operators is investigated. Strong convergence theorems are established in the framework of Hilbert spaces.

【 授权许可】

CC BY