Approximate Proximal Point Algorithms for Finding Zeroes of Maximal Monotone Operators in Hilbert Spaces

Let H be a real Hilbert space, Ω a nonempty closed convex subset of H, and T:Ω→2H a maximal monotone operator with T−10 ≠ ∅. Let PΩ be the metric projection of H onto Ω. Suppose that, for any given xn∈H, βn>0, and en∈H, there exists x̄nâ...

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Bibliographic Details
Main Authors: Haiyun Zhou, Shin Min Kang, Yeol Je Cho
Format: Article
Language:English
Published: SpringerOpen 2008-03-01
Series:Journal of Inequalities and Applications
Online Access:http://dx.doi.org/10.1155/2008/598191