New iterative schemes for a finite family of nonself uniformly quasi-Lipschitzian mappings in Banach spaces

Fixexd point theory and applications

Liang-gen Hu¹  Chao Wang³  Jin Li⁴ 

[1] Department of Mathematics, Tongji University, Shanghai, People'School of Computer and Information Engineering, Zhejiang Gongshang University, Hangzhou, People'School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing, People's Republic of China

关键词: nonself uniformly quasi-Lipschitzian mapping;    new iterative scheme with errors;    common fixed point;    Banach spaces;   

DOI  :  10.1186/1687-1812-2012-72

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this article, we introduce the concept of nonself uniformly quasi-Lipschitzian mapping and consider a new iterative scheme with errors to converge to a common fixed point for a finite family of nonself uniformly quasi-Lipschitzian mappings in Banach spaces. The results of this article improve and extend many known results.

【 授权许可】

CC BY