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Zbl 1190.47068
Cui, Yan-Lan; Liu, Xia
Notes on Browder's and Halpern's methods for nonexpansive mappings. (English)
[J] Fixed Point Theory 10, No. 1, 89-98 (2009). ISSN 1583-5022

The authors propose methods for finding a minimum-norm fixed point of a nonexpansive mapping by using the metric projection in a Hilbert space. An application to a convex minimization problem is also given.
[Satit Saejung (Khon Kaen)]
MSC 2000:
*47J25 Methods for solving nonlinear operator equations (general)
47H09 Mappings defined by "shrinking" properties
47H10 Fixed point theorems for nonlinear operators on topol.linear spaces

Keywords: nonexpansive mapping; fixed point; convex minimization

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