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Strong convergence of projection algorithms for a family of relatively quasi-nonexpansive mappings and an equilibrium problem in Banach spaces

✍ Scribed by Cholamjiak, Prasit

Book ID
127025099
Publisher
Taylor and Francis Group
Year
2011
Tongue
English
Weight
163 KB
Volume
60
Category
Article
ISSN
0233-1934

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Strong convergence theorems for an infin
Strong convergence theorems for an infinite family of nonexpansive mappings in Banach spaces
✍ Xiaolong Qin; Yeol Je Cho; Jung Im Kang; Shin Min Kang πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 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