Convergence of algorithms for fixed points of generalized asymptotically quasi- ϕ -nonexpansive mappings with applications

Fixexd point theory and applications

Shin Min Kang²  Xiaolong Qin³  Ravi P Agarwal⁴  Sun Young Cho⁵ 

[1] Department of Mathematics and RINS, Gyeongsang National University, Jinju, Republic of Korea;Department of Mathematics, Gyeongsang National University, Jinju, Republic of Korea;Department of Mathematics, Hangzhou Normal University, Hangzhou, China;Department of Mathematics, Texas A&M University-Kingsville, Kingsville, USA

关键词: asymptotically quasi-ϕ-nonexpansive mapping;    asymptotically nonexpansive mapping;    fixed point;    generalized asymptotically quasi-ϕ-nonexpansive mapping;    generalized asymptotically quasi-nonexpansive mapping;   

DOI  :  10.1186/1687-1812-2012-58

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this article, strong convergence of Krasnoselski-Mann iterative sequences and Halpern iterative sequences are investigated based on hybrid projection methods. Strong convergence theorems for common fixed points of a family of generalized asymptotically quasi-ϕ-nonexpansive mappings are established in the framework of Banach spaces. Mathematics Subject Classification 2000: 47H09; 47J05; 47J25.

【 授权许可】

CC BY