Papers
Strong convergence theorems for an infinite family of nonexpansive mapping in Banach spaces
- AuthorX. Qin, Y. J. Cho, J. I. Kang, S. M. Kang,
- JournalJournal of Computational and Applied Mathematics 230-1 (2009
- Link https://doi.org/10.1016/j.cam.2008.10.058
- Classification of papersSCI
- KeywordNonexpansive mapping; Contraction; Strong convergence; Fixed point
In an infinite-dimensional Hilbert space, the normal Mann’s iteration algorithm has only weak convergence, in general, even for nonexpansive mappings. In order to get a strong convergence result, we modify the normal Mann’s iterative process for an infinite family of nonexpansive mappings in the framework of Banach spaces. Our results improve and extend the recent results announced by many others.
In an infinite-dimensional Hilbert space, the normal Mann’s iteration algorithm has only weak convergence, in general, even for nonexpansive mappings. In order to get a strong convergence result, we modify the normal Mann’s iterative process for an infinite family of nonexpansive mappings in the framework of Banach spaces. Our results improve and extend the recent results announced by many others.