𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Strong convergence of Mann’s type iteration method for an infinite family of generalized asymptotically nonexpansive nonself mappings in Hilbert spaces

✍ Scribed by Wei-Qi Deng


Book ID
120885584
Publisher
Springer-Verlag
Year
2012
Tongue
English
Weight
181 KB
Volume
8
Category
Article
ISSN
1862-4472

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Convergence of a general iterative metho
✍ Yeol Je Cho; Xiaolong Qin 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 481 KB

In this paper, we introduce a modified Ishikawa iterative process for approximating a fixed point of nonexpansive mappings in Hilbert spaces. We establish some strong convergence theorems of the general iteration scheme under some mild conditions. The results improve and extend the corresponding res

Strong convergence theorems for an infin
✍ Xiaolong Qin; Yeol Je Cho; Jung Im Kang; Shin Min Kang 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 436 KB

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 fra