Some results on zero points of m -accretive operators in reflexive Banach spaces

Fixexd point theory and applications

Chang Qun Wu¹  Songtao Lv²  Yunpeng Zhang³ 

[1] School of Business and Administration, Henan University, Kaifeng, China;School of Mathematics and Information Science, Shangqiu Normal University, Shangqiu, China;Vietnam National University, Hanoi, Vietnam

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

DOI  :  10.1186/1687-1812-2014-118

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

A modified proximal point algorithm is proposed for treating common zero points of a finite family of m-accretive operators. A strong convergence theorem is established in a reflexive, strictly convex Banach space with the uniformly Gâteaux differentiable norm.

【 授权许可】

CC BY