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Zbl 1242.65112
Cho, Sun Young; Qin, Xiaolong; Kang, Shin Min
Hybrid projection algorithms for treating common fixed points of a family of demicontinuous pseudocontractions.
(English)
[J] Appl. Math. Lett. 25, No. 5, 854-857 (2012). ISSN 0893-9659

Summary: A projection algorithm is considered for treating strongly continuous semigroups of demicontinuous pseudocontractions. Theorems of strong convergence of fixed points are established in the framework of real Hilbert spaces.
MSC 2000:
*65J15 Equations with nonlinear operators (numerical methods)
47J25 Methods for solving nonlinear operator equations (general)
47H09 Mappings defined by "shrinking" properties
47J15 Abstract bifurcation theory

Keywords: fixed point; implicit iterative process; pseudocontraction; projection algorithm; Hilbert space; strong convergence; strongly continuous semigroups

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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