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Fixed point properties for nonexpansive representations of topological semigroups

✍ Scribed by E. Nazari; A.H. Riazi

Book ID: 108175562
Publisher: Elsevier Science
Year: 2007
Tongue: English
Weight: 104 KB
Volume: 327
Category: Article
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2006.03.093

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Let C be a nonempty closed convex subset of real Hilbert space H and S = {T (s) : 0 ≤ s < ∞} be a nonexpansive semigroup on C such that F(S) = ∅. For a contraction f on C, and t ∈ (0, 1), let x t ∈ C be the unique fixed point of the contraction where {λ t } is a positive real divergent net. Conside