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Mann’s algorithm for nonexpansive mappings in CAT() spaces

✍ Scribed by J.S. He; D.H. Fang; G. López; C. Li

Book ID
113811424
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
237 KB
Volume
75
Category
Article
ISSN
0362-546X

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A general iterative algorithm for nonexp
A general iterative algorithm for nonexpansive mappings in Hilbert spaces
✍ Ming Tian 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 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 < α < 1, and 2 )/α = τ /α. We proved that the sequence {x n } generated by the iterative method )Tx n converges strongly to a fixed point x ∈ F ix (T ), which