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Fixed point solutions of variational inequalities for a semigroup of asymptotically nonexpansive mappings in Banach spaces

✍ Scribed by Pongsakorn Sunthrayuth, Poom Kumam

Book ID: 119906538
Publisher: Springer International Publishing AG
Year: 2012
Tongue: English
Weight: 270 KB
Volume: 2012
Category: Article
ISSN: 1687-1820
DOI: 10.1186/1687-1812-2012-177

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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