Weak and strong convergence theorems for a finite family of non-Lipschitzian nonself mappings in Banach spaces

Fixexd point theory and applications

Lanping Zhu¹  Qianglian Huang¹ 

[1] College of Mathematics, Yangzhou University, Yangzhou, China

关键词: asymptotically nonexpansive mapping in the intermediate sense;    Kadec-Klee property;    Opial’s condition;    uniformly convex Banach spaces;    common fixed points;   

DOI  :  10.1186/1687-1812-2013-170

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, several weak and strong convergence theorems are established for a new modified iteration with errors for a finite family of nonself mappings which are asymptotically nonexpansive in the intermediate sense in Banach spaces. Mann-type, Ishikawa-type and Noor-type iterations are covered by this new iteration scheme. Our convergence theorems improve, unify and generalize many important results in the current literature. MSC:47H10, 47H09, 46B20.

【 授权许可】

CC BY