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A continuation method for solving fixed points of self-mappings in general nonconvex sets

✍ Scribed by Zhenghua Lin; Bo Yu; Daoli Zhu

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
136 KB
Volume
52
Category
Article
ISSN
0362-546X

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Let E be a uniformly convex real Banach space with a uniformly GÒteaux 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 {