Regularization proximal point algorithm for finding a common fixed point of a finite family of nonexpansive mappings in Banach spaces

Fixexd point theory and applications

Truong Minh Tuyen¹  Jong Kyu Kim² 

[1] College of Sciences, Thainguyen University, Thainguyen, Vietnam;Department of Mathematics Education, Kyungnam University, Masan, Korea

关键词: accretive operators;    uniformly smooth and uniformly convex;    Banach space;    sunny nonexpansive retraction;    weak sequential continuous;    mapping;    regularization;   

DOI  :  10.1186/1687-1812-2011-52

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We study the strong convergence of a regularization proximal point algorithm for finding a common fixed point of a finite family of nonexpansive mappings in a uniformly convex and uniformly smooth Banach space. 2010 Mathematics Subject Classification: 47H09; 47J25; 47J30.

【 授权许可】

CC BY