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

作者：Huang, Qianglian^*; Zhu, Lanping

来源：Fixed Point Theory and Applications, 2013, 170.

DOI：10.1186/1687-1812-2013-170

• asymptotically nonexpansive mapping in the intermediate sense
• Kadec-Klee property
• Opial's condition
• uniformly convex Banach spaces
• common fixed points

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.

• 出版日期2013
• 单位扬州大学