Strong convergence theorems of quasi-phi-asymptotically nonexpansive semi-groups in Banach spaces

作者：Chang Shih sen^*; Wang Lin; Tang Yong Kun; Zao Yun He; Wang Bin

来源：Fixed Point Theory and Applications, 2012, 15.

DOI：10.1186/1687-1812-2012-15

• modified Halpern-Mann-type iteration
• quasi-phi-symptotically nonexpansive semi-groups
• quasi-phi-nonexpansive semi-groups
• weak relatively nonexpansive mapping
• relatively nonexpansive semi-groups
• generalized projection

The purpose of this article is to modify the Halpern-Mann-type iteration algorithm for quasi-I center dot-asymptotically nonexpansive semi-groups to have the strong convergence under a limit condition only in the framework of Banach spaces. The results presented in the article improve and extend the corresponding recent results announced by many authors.
2000 AMS Subject Classification: 47J05; 47H09; 49J25.

• 出版日期2012
• 单位云南大学