Strong convergence theorems for fixed point problems of a nonexpansive semigroup in a Banach space

Fixexd point theory and applications

Xin Wang¹  Jinlin Guan¹  Changsong Hu¹ 

[1] School of Mathematics and Statistics, Hubei Normal University, Huangshi, China

关键词: nonexpansive semigroup;    fixed point;    reflexive and strictly convex Banach space;    uniformly smooth;    Opial’s condition;    sunny nonexpansive retraction;   

DOI  :  10.1186/1687-1812-2013-248

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we study the implicit and explicit viscosity iteration schemes for a nonexpansive semigroup in a reflexive, strictly convex and uniformly smooth Banach space which satisfies Opial’s condition. Our results improve and generalize the corresponding results given by Yao et al. (Fixed Point Theory Appl. 2013, doi:10.1186/1687-1812-2013-31) and many others. MSC:47H05, 47H10, 47H17.

【 授权许可】

CC BY