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Stronger convergence theorems for an infinite family of uniformly quasi-Lipschitzian mappings in convex metric spaces

โœ Scribed by Shih-sen Chang; Li Yang; Xiong Rui Wang


Book ID
108051827
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
179 KB
Volume
217
Category
Article
ISSN
0096-3003

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Strong convergence theorems for an infin
โœ Xiaolong Qin; Yeol Je Cho; Jung Im Kang; Shin Min Kang ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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