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A general iterative algorithm for semigroups of nonexpansive mappings with generalized contractive mapping

โœ Scribed by Yang, Li-ping; Kong, Wei-ming

Book ID
122532898
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
355 KB
Volume
222
Category
Article
ISSN
0096-3003

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A general iterative algorithm for nonexp
A general iterative algorithm for nonexpansive mappings in Hilbert spaces
โœ Ming Tian ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 250 KB

Let H be a real Hilbert space. Suppose that T is a nonexpansive mapping on H with a fixed point, f is a contraction on H with coefficient 0 < ฮฑ < 1, and 2 )/ฮฑ = ฯ„ /ฮฑ. We proved that the sequence {x n } generated by the iterative method )Tx n converges strongly to a fixed point x โˆˆ F ix (T ), which