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Non–expansive Mappings and Iterative Methods in Uniformly Convex Banach Spaces

✍ Scribed by Hai Yun Zhou


Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2004
Tongue
English
Weight
152 KB
Volume
20
Category
Article
ISSN
1439-7617

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Iterative methods for common fixed point
✍ C.E. Chidume; C.O. Chidume 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 679 KB

Let E be a uniformly convex real Banach space with a uniformly Gâteaux differentiable norm. Let K be a closed, convex and nonempty subset of E. Let {T i } ∞ i=1 be a family of nonexpansive self-mappings of K . For arbitrary fixed δ ∈ (0, 1), define a family of nonexpansive maps , where {α n } and {