Convergence theorems for continuous pseudocontractive mappings in Banach spaces

Journal of inequalities and applications

Weiping Guo¹ 

关键词: uniformly convex Banach space;    pseudocontractive mapping;    nonexpansive mapping;    implicit iteration process;    convergence theorem;   

DOI  :  10.1186/1029-242X-2014-384

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we prove some strong and weak convergence theorems for continuous pseudocontractive mapping and a weak convergence theorem for nonexpansive mapping in real uniformly convex Banach spaces. As an application of the strong convergence theorem, we give an interesting example.

【 授权许可】

CC BY