Convergence of splitting algorithms for the sum of two accretive operators with applications

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: accretive operator;    fixed point;    nonexpansive mapping;    resolvent;    zero point;   

DOI  :  10.1186/1687-1812-2014-166

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We study a splitting algorithm for problems involving the sum of two accretive operators. We prove the strong convergence of the algorithm. Applications to variational inequality, fixed point, equilibrium, and minimization problems are provided.

【 授权许可】

CC BY