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• W2079728872 abstract "This paper deals with a general fixed point iteration for computing a point in some nonempty closed and convex solution set included in the common fixed point set of a sequence of mappings on a real Hilbert space. The proposed method combines two strategies: viscosity approximations (regularization) and inertial type extrapolation. The first strategy is known to ensure the strong convergence of some successive approximation methods, while the second one is intended to speed up the convergence process. Under classical conditions on the operators and the parameters, we prove that the sequence of iterates generated by our scheme converges strongly to the element of minimal norm in the solution set. This algorithm works, for instance, for approximating common fixed points of infinite families of demicontractive mappings, including the classes of quasi-nonexpansive operators and strictly pseudocontractive ones." @default.
• W2079728872 created "2016-06-24" @default.
• W2079728872 creator A5091006322 @default.
• W2079728872 date "2008-08-01" @default.
• W2079728872 modified "2023-10-18" @default.
• W2079728872 title "Regularized and inertial algorithms for common fixed points of nonlinear operators" @default.
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• W2079728872 doi "https://doi.org/10.1016/j.jmaa.2008.03.028" @default.
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