Strong convergence of a general iterative algorithm for a finite family of accretive operators in Banach spaces

Fixexd point theory and applications

Yanlai Song¹  Luchuan Ceng² 

[1] College of Science, Zhongyuan University of Technology, Zhengzhou, China;Department of Mathematics, Shanghai Normal University, Shanghai, China

关键词: iterative algorithm;    strong convergence;    fixed point;    q-uniformly smooth Banach space;    inverse-strongly accretive operator;    47H09;    47H10;    47H17;   

DOI  :  10.1186/s13663-015-0335-0

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The purpose of this paper is to present a new iterative scheme for finding a common solution to a variational inclusion problem with a finite family of accretive operators and a modified system of variational inequalities in infinite-dimensional Banach spaces. Under mild conditions, a strong convergence theorem for approximating this common solution is proved. The methods in the paper are novel and different from those in the early and recent literature.

【 授权许可】

CC BY