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Tikhonov fixed-point regularization. (English) Zbl 1018.90068
Nguyen, Van Hien (ed.) et al., Optimization. Proceedings of the 9th Belgian-French-German conference, Namur, Belgium, September 7-11, 1998. Berlin: Springer. Lect. Notes Econ. Math. Syst. 481, 320-328 (2000).
Summary: The main purpose of this note is to propose viscosity approximation methods which amount to selecting a particular fixed-point of a given nonexpansive self mapping in a general Hilbert space. The connection with the selection principles of H. Attouch (1996), in the context of convex minimization and monotone inclusion problems, is made and an application to a semi-coercive elliptic problem is then stated.
For the entire collection see [Zbl 0935.00054].

90C48 Programming in abstract spaces
47J25 Iterative procedures involving nonlinear operators