New ergodic convergence theorems for non-expansive mappings and m -accretive mappings

Journal of inequalities and applications

Li Wei¹ 

关键词: m-accretive mapping;    non-expansive mapping;    contraction;    retraction;    ergodic convergence;    smooth Banach space;    47H05;    47H09;    47H10;   

DOI  :  10.1186/s13660-016-0964-9

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

Two new ergodic convergence theorems for approximating the common element of the set of zero points of an m-accretive mapping and the set of fixed points of an infinite family of non-expansive mappings in a real smooth and uniformly convex Banach space are obtained, which improves some of the previous work. The computational experiments to demonstrate the effectiveness of the proposed iterative algorithms in this paper are conducted.

【 授权许可】

CC BY